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Finding the Fourth Proportional to 457.40, 686.14 and 252.06

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Solution

The fourth proportional to 457.40, 686.14 and 252.06 is: 378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.40 : 686.14 = 252.06 : x
  2. Step 2: Convert to fraction form
    457.40/686.14 = 252.06/x
  3. Step 3: Cross multiply
    457.40x = 686.14 × 252.06
  4. Step 4: Simplify right side
    457.40x = 172,948.45
  5. Step 5: Solve for x
    x = 172,948.45/457.40
  6. Step 6: Final answer
    x = 378.11

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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.