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Finding the Fourth Proportional to 178.17, 267.00 and 86.77

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Solution

The fourth proportional to 178.17, 267.00 and 86.77 is: 130.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.17 : 267.00 = 86.77 : x
  2. Step 2: Convert to fraction form
    178.17/267.00 = 86.77/x
  3. Step 3: Cross multiply
    178.17x = 267.00 × 86.77
  4. Step 4: Simplify right side
    178.17x = 23,167.60
  5. Step 5: Solve for x
    x = 23,167.60/178.17
  6. Step 6: Final answer
    x = 130.03

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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.