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Finding the Fourth Proportional to 641.98, 962.58 and 209.08

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Solution

The fourth proportional to 641.98, 962.58 and 209.08 is: 313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.98 : 962.58 = 209.08 : x
  2. Step 2: Convert to fraction form
    641.98/962.58 = 209.08/x
  3. Step 3: Cross multiply
    641.98x = 962.58 × 209.08
  4. Step 4: Simplify right side
    641.98x = 201,256.23
  5. Step 5: Solve for x
    x = 201,256.23/641.98
  6. Step 6: Final answer
    x = 313.49

Related Problems

Find fourth proportional to 320.99, 481.29 and 104.54
Half scale
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Double scale
Find fourth proportional to 642.98, 964.08 and 210.08
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.