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Finding the Fourth Proportional to 242.16, 329.56 and 240.96

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Solution

The fourth proportional to 242.16, 329.56 and 240.96 is: 327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.16 : 329.56 = 240.96 : x
  2. Step 2: Convert to fraction form
    242.16/329.56 = 240.96/x
  3. Step 3: Cross multiply
    242.16x = 329.56 × 240.96
  4. Step 4: Simplify right side
    242.16x = 79,410.78
  5. Step 5: Solve for x
    x = 79,410.78/242.16
  6. Step 6: Final answer
    x = 327.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.