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Finding the Fourth Proportional to 641.49, 962.38 and 208.64

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Solution

The fourth proportional to 641.49, 962.38 and 208.64 is: 313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.49 : 962.38 = 208.64 : x
  2. Step 2: Convert to fraction form
    641.49/962.38 = 208.64/x
  3. Step 3: Cross multiply
    641.49x = 962.38 × 208.64
  4. Step 4: Simplify right side
    641.49x = 200,790.96
  5. Step 5: Solve for x
    x = 200,790.96/641.49
  6. Step 6: Final answer
    x = 313.01

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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.