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Finding the Fourth Proportional to 242.40, 360.86 and 240.96

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Solution

The fourth proportional to 242.40, 360.86 and 240.96 is: 358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.40 : 360.86 = 240.96 : x
  2. Step 2: Convert to fraction form
    242.40/360.86 = 240.96/x
  3. Step 3: Cross multiply
    242.40x = 360.86 × 240.96
  4. Step 4: Simplify right side
    242.40x = 86,952.64
  5. Step 5: Solve for x
    x = 86,952.64/242.40
  6. Step 6: Final answer
    x = 358.71

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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.