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Finding the Fourth Proportional to 657.23, 985.94 and 240.71

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Solution

The fourth proportional to 657.23, 985.94 and 240.71 is: 361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.23 : 985.94 = 240.71 : x
  2. Step 2: Convert to fraction form
    657.23/985.94 = 240.71/x
  3. Step 3: Cross multiply
    657.23x = 985.94 × 240.71
  4. Step 4: Simplify right side
    657.23x = 237,324.55
  5. Step 5: Solve for x
    x = 237,324.55/657.23
  6. Step 6: Final answer
    x = 361.10

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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.