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Finding the Fourth Proportional to 229.77, 342.36 and 224.91

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Solution

The fourth proportional to 229.77, 342.36 and 224.91 is: 335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.77 : 342.36 = 224.91 : x
  2. Step 2: Convert to fraction form
    229.77/342.36 = 224.91/x
  3. Step 3: Cross multiply
    229.77x = 342.36 × 224.91
  4. Step 4: Simplify right side
    229.77x = 77,000.19
  5. Step 5: Solve for x
    x = 77,000.19/229.77
  6. Step 6: Final answer
    x = 335.12

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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.