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Finding the Fourth Proportional to 224.30, 335.82 and 142.94

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Solution

The fourth proportional to 224.30, 335.82 and 142.94 is: 214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.30 : 335.82 = 142.94 : x
  2. Step 2: Convert to fraction form
    224.30/335.82 = 142.94/x
  3. Step 3: Cross multiply
    224.30x = 335.82 × 142.94
  4. Step 4: Simplify right side
    224.30x = 48,002.11
  5. Step 5: Solve for x
    x = 48,002.11/224.30
  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.