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Finding the Fourth Proportional to 162.40, 243.52 and 132.16

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Solution

The fourth proportional to 162.40, 243.52 and 132.16 is: 198.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.40 : 243.52 = 132.16 : x
  2. Step 2: Convert to fraction form
    162.40/243.52 = 132.16/x
  3. Step 3: Cross multiply
    162.40x = 243.52 × 132.16
  4. Step 4: Simplify right side
    162.40x = 32,183.60
  5. Step 5: Solve for x
    x = 32,183.60/162.40
  6. Step 6: Final answer
    x = 198.17

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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.