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Finding the Fourth Proportional to 242.18, 360.57 and 240.96

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Solution

The fourth proportional to 242.18, 360.57 and 240.96 is: 358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.18 : 360.57 = 240.96 : x
  2. Step 2: Convert to fraction form
    242.18/360.57 = 240.96/x
  3. Step 3: Cross multiply
    242.18x = 360.57 × 240.96
  4. Step 4: Simplify right side
    242.18x = 86,882.95
  5. Step 5: Solve for x
    x = 86,882.95/242.18
  6. Step 6: Final answer
    x = 358.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.