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Finding the Fourth Proportional to 178.20, 266.64 and 132.16

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Solution

The fourth proportional to 178.20, 266.64 and 132.16 is: 197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.20 : 266.64 = 132.16 : x
  2. Step 2: Convert to fraction form
    178.20/266.64 = 132.16/x
  3. Step 3: Cross multiply
    178.20x = 266.64 × 132.16
  4. Step 4: Simplify right side
    178.20x = 35,239.14
  5. Step 5: Solve for x
    x = 35,239.14/178.20
  6. Step 6: Final answer
    x = 197.75

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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.