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Finding the Fourth Proportional to 232.30, 318.41 and 224.10

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Solution

The fourth proportional to 232.30, 318.41 and 224.10 is: 307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.30 : 318.41 = 224.10 : x
  2. Step 2: Convert to fraction form
    232.30/318.41 = 224.10/x
  3. Step 3: Cross multiply
    232.30x = 318.41 × 224.10
  4. Step 4: Simplify right side
    232.30x = 71,355.68
  5. Step 5: Solve for x
    x = 71,355.68/232.30
  6. Step 6: Final answer
    x = 307.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.