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Finding the Fourth Proportional to 162.75, 224.53 and 100.47

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Solution

The fourth proportional to 162.75, 224.53 and 100.47 is: 138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.75 : 224.53 = 100.47 : x
  2. Step 2: Convert to fraction form
    162.75/224.53 = 100.47/x
  3. Step 3: Cross multiply
    162.75x = 224.53 × 100.47
  4. Step 4: Simplify right side
    162.75x = 22,557.86
  5. Step 5: Solve for x
    x = 22,557.86/162.75
  6. Step 6: Final answer
    x = 138.61

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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.