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Finding the Fourth Proportional to 641.84, 962.76 and 209.00

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Solution

The fourth proportional to 641.84, 962.76 and 209.00 is: 313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.84 : 962.76 = 209.00 : x
  2. Step 2: Convert to fraction form
    641.84/962.76 = 209.00/x
  3. Step 3: Cross multiply
    641.84x = 962.76 × 209.00
  4. Step 4: Simplify right side
    641.84x = 201,212.03
  5. Step 5: Solve for x
    x = 201,212.03/641.84
  6. Step 6: Final answer
    x = 313.49

Related Problems

Find fourth proportional to 320.92, 481.38 and 104.50
Half scale
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Double scale
Find fourth proportional to 642.84, 964.26 and 210
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.