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Finding the Fourth Proportional to 162.38, 224.34 and 113.48

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Solution

The fourth proportional to 162.38, 224.34 and 113.48 is: 156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.38 : 224.34 = 113.48 : x
  2. Step 2: Convert to fraction form
    162.38/224.34 = 113.48/x
  3. Step 3: Cross multiply
    162.38x = 224.34 × 113.48
  4. Step 4: Simplify right side
    162.38x = 25,458.10
  5. Step 5: Solve for x
    x = 25,458.10/162.38
  6. Step 6: Final answer
    x = 156.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.