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Finding the Fourth Proportional to 466.31, 642.95 and 387.71

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Solution

The fourth proportional to 466.31, 642.95 and 387.71 is: 534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.31 : 642.95 = 387.71 : x
  2. Step 2: Convert to fraction form
    466.31/642.95 = 387.71/x
  3. Step 3: Cross multiply
    466.31x = 642.95 × 387.71
  4. Step 4: Simplify right side
    466.31x = 249,272.99
  5. Step 5: Solve for x
    x = 249,272.99/466.31
  6. Step 6: Final answer
    x = 534.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.