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Finding the Fourth Proportional to 224.67, 337.01 and 78.42

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Solution

The fourth proportional to 224.67, 337.01 and 78.42 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.67 : 337.01 = 78.42 : x
  2. Step 2: Convert to fraction form
    224.67/337.01 = 78.42/x
  3. Step 3: Cross multiply
    224.67x = 337.01 × 78.42
  4. Step 4: Simplify right side
    224.67x = 26,427.93
  5. Step 5: Solve for x
    x = 26,427.93/224.67
  6. Step 6: Final answer
    x = 117.63

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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.