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Finding the Fourth Proportional to 657.18, 985.70 and 240.77

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Solution

The fourth proportional to 657.18, 985.70 and 240.77 is: 361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.18 : 985.70 = 240.77 : x
  2. Step 2: Convert to fraction form
    657.18/985.70 = 240.77/x
  3. Step 3: Cross multiply
    657.18x = 985.70 × 240.77
  4. Step 4: Simplify right side
    657.18x = 237,330.06
  5. Step 5: Solve for x
    x = 237,330.06/657.18
  6. Step 6: Final answer
    x = 361.13

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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.