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Finding the Fourth Proportional to 178.86, 267.74 and 165.30

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Solution

The fourth proportional to 178.86, 267.74 and 165.30 is: 247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.86 : 267.74 = 165.30 : x
  2. Step 2: Convert to fraction form
    178.86/267.74 = 165.30/x
  3. Step 3: Cross multiply
    178.86x = 267.74 × 165.30
  4. Step 4: Simplify right side
    178.86x = 44,257.42
  5. Step 5: Solve for x
    x = 44,257.42/178.86
  6. Step 6: Final answer
    x = 247.44

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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.