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Finding the Fourth Proportional to 178.36, 267.42 and 86.98

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Solution

The fourth proportional to 178.36, 267.42 and 86.98 is: 130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.36 : 267.42 = 86.98 : x
  2. Step 2: Convert to fraction form
    178.36/267.42 = 86.98/x
  3. Step 3: Cross multiply
    178.36x = 267.42 × 86.98
  4. Step 4: Simplify right side
    178.36x = 23,260.19
  5. Step 5: Solve for x
    x = 23,260.19/178.36
  6. Step 6: Final answer
    x = 130.41

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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.