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Finding the Fourth Proportional to 456.93, 685.80 and 240.66

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Solution

The fourth proportional to 456.93, 685.80 and 240.66 is: 361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.93 : 685.80 = 240.66 : x
  2. Step 2: Convert to fraction form
    456.93/685.80 = 240.66/x
  3. Step 3: Cross multiply
    456.93x = 685.80 × 240.66
  4. Step 4: Simplify right side
    456.93x = 165,044.63
  5. Step 5: Solve for x
    x = 165,044.63/456.93
  6. Step 6: Final answer
    x = 361.20

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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.