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Finding the Fourth Proportional to 457.08, 685.68 and 240.72

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Solution

The fourth proportional to 457.08, 685.68 and 240.72 is: 361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.08 : 685.68 = 240.72 : x
  2. Step 2: Convert to fraction form
    457.08/685.68 = 240.72/x
  3. Step 3: Cross multiply
    457.08x = 685.68 × 240.72
  4. Step 4: Simplify right side
    457.08x = 165,056.89
  5. Step 5: Solve for x
    x = 165,056.89/457.08
  6. Step 6: Final answer
    x = 361.11

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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.