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Finding the Fourth Proportional to 162.72, 223.32 and 147.15

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Solution

The fourth proportional to 162.72, 223.32 and 147.15 is: 201.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.72 : 223.32 = 147.15 : x
  2. Step 2: Convert to fraction form
    162.72/223.32 = 147.15/x
  3. Step 3: Cross multiply
    162.72x = 223.32 × 147.15
  4. Step 4: Simplify right side
    162.72x = 32,861.54
  5. Step 5: Solve for x
    x = 32,861.54/162.72
  6. Step 6: Final answer
    x = 201.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.