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Finding the Fourth Proportional to 242.92, 367.27 and 231.16

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Solution

The fourth proportional to 242.92, 367.27 and 231.16 is: 349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.92 : 367.27 = 231.16 : x
  2. Step 2: Convert to fraction form
    242.92/367.27 = 231.16/x
  3. Step 3: Cross multiply
    242.92x = 367.27 × 231.16
  4. Step 4: Simplify right side
    242.92x = 84,898.13
  5. Step 5: Solve for x
    x = 84,898.13/242.92
  6. Step 6: Final answer
    x = 349.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.