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Finding the Fourth Proportional to 224.32, 335.90 and 142.92

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Solution

The fourth proportional to 224.32, 335.90 and 142.92 is: 214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.32 : 335.90 = 142.92 : x
  2. Step 2: Convert to fraction form
    224.32/335.90 = 142.92/x
  3. Step 3: Cross multiply
    224.32x = 335.90 × 142.92
  4. Step 4: Simplify right side
    224.32x = 48,006.83
  5. Step 5: Solve for x
    x = 48,006.83/224.32
  6. Step 6: Final answer
    x = 214.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.