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Finding the Fourth Proportional to 240.72, 359.33 and 224.52

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Solution

The fourth proportional to 240.72, 359.33 and 224.52 is: 335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.72 : 359.33 = 224.52 : x
  2. Step 2: Convert to fraction form
    240.72/359.33 = 224.52/x
  3. Step 3: Cross multiply
    240.72x = 359.33 × 224.52
  4. Step 4: Simplify right side
    240.72x = 80,676.77
  5. Step 5: Solve for x
    x = 80,676.77/240.72
  6. Step 6: Final answer
    x = 335.15

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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.