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Finding the Fourth Proportional to 641.80, 962.10 and 257.32

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Solution

The fourth proportional to 641.80, 962.10 and 257.32 is: 385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.80 : 962.10 = 257.32 : x
  2. Step 2: Convert to fraction form
    641.80/962.10 = 257.32/x
  3. Step 3: Cross multiply
    641.80x = 962.10 × 257.32
  4. Step 4: Simplify right side
    641.80x = 247,567.57
  5. Step 5: Solve for x
    x = 247,567.57/641.80
  6. Step 6: Final answer
    x = 385.74

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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.