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Finding the Fourth Proportional to 178.01, 266.78 and 75.24

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Solution

The fourth proportional to 178.01, 266.78 and 75.24 is: 112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.01 : 266.78 = 75.24 : x
  2. Step 2: Convert to fraction form
    178.01/266.78 = 75.24/x
  3. Step 3: Cross multiply
    178.01x = 266.78 × 75.24
  4. Step 4: Simplify right side
    178.01x = 20,072.53
  5. Step 5: Solve for x
    x = 20,072.53/178.01
  6. Step 6: Final answer
    x = 112.76

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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.