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Finding the Fourth Proportional to 240.17, 360.13 and 77.83

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Solution

The fourth proportional to 240.17, 360.13 and 77.83 is: 116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.17 : 360.13 = 77.83 : x
  2. Step 2: Convert to fraction form
    240.17/360.13 = 77.83/x
  3. Step 3: Cross multiply
    240.17x = 360.13 × 77.83
  4. Step 4: Simplify right side
    240.17x = 28,028.92
  5. Step 5: Solve for x
    x = 28,028.92/240.17
  6. Step 6: Final answer
    x = 116.70

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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.