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Finding the Fourth Proportional to 179.91, 267.87 and 177.30

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Solution

The fourth proportional to 179.91, 267.87 and 177.30 is: 263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.91 : 267.87 = 177.30 : x
  2. Step 2: Convert to fraction form
    179.91/267.87 = 177.30/x
  3. Step 3: Cross multiply
    179.91x = 267.87 × 177.30
  4. Step 4: Simplify right side
    179.91x = 47,493.35
  5. Step 5: Solve for x
    x = 47,493.35/179.91
  6. Step 6: Final answer
    x = 263.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.