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Finding the Fourth Proportional to 162.10, 224.13 and 141.61

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Solution

The fourth proportional to 162.10, 224.13 and 141.61 is: 195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.10 : 224.13 = 141.61 : x
  2. Step 2: Convert to fraction form
    162.10/224.13 = 141.61/x
  3. Step 3: Cross multiply
    162.10x = 224.13 × 141.61
  4. Step 4: Simplify right side
    162.10x = 31,737.93
  5. Step 5: Solve for x
    x = 31,737.93/162.10
  6. Step 6: Final answer
    x = 195.79

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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.