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Finding the Fourth Proportional to 457.32, 686.28 and 295.08

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Solution

The fourth proportional to 457.32, 686.28 and 295.08 is: 442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.32 : 686.28 = 295.08 : x
  2. Step 2: Convert to fraction form
    457.32/686.28 = 295.08/x
  3. Step 3: Cross multiply
    457.32x = 686.28 × 295.08
  4. Step 4: Simplify right side
    457.32x = 202,507.50
  5. Step 5: Solve for x
    x = 202,507.50/457.32
  6. Step 6: Final answer
    x = 442.81

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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.