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Finding the Fourth Proportional to 179.07, 267.46 and 140.59

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Solution

The fourth proportional to 179.07, 267.46 and 140.59 is: 209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.07 : 267.46 = 140.59 : x
  2. Step 2: Convert to fraction form
    179.07/267.46 = 140.59/x
  3. Step 3: Cross multiply
    179.07x = 267.46 × 140.59
  4. Step 4: Simplify right side
    179.07x = 37,602.20
  5. Step 5: Solve for x
    x = 37,602.20/179.07
  6. Step 6: Final answer
    x = 209.99

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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.