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Finding the Fourth Proportional to 457.56, 686.52 and 252.36

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Solution

The fourth proportional to 457.56, 686.52 and 252.36 is: 378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.56 : 686.52 = 252.36 : x
  2. Step 2: Convert to fraction form
    457.56/686.52 = 252.36/x
  3. Step 3: Cross multiply
    457.56x = 686.52 × 252.36
  4. Step 4: Simplify right side
    457.56x = 173,250.19
  5. Step 5: Solve for x
    x = 173,250.19/457.56
  6. Step 6: Final answer
    x = 378.64

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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.