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Finding the Fourth Proportional to 179.17, 267.31 and 159.68

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Solution

The fourth proportional to 179.17, 267.31 and 159.68 is: 238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.17 : 267.31 = 159.68 : x
  2. Step 2: Convert to fraction form
    179.17/267.31 = 159.68/x
  3. Step 3: Cross multiply
    179.17x = 267.31 × 159.68
  4. Step 4: Simplify right side
    179.17x = 42,682.72
  5. Step 5: Solve for x
    x = 42,682.72/179.17
  6. Step 6: Final answer
    x = 238.23

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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.