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Finding the Fourth Proportional to 179.47, 267.78 and 178.45

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Solution

The fourth proportional to 179.47, 267.78 and 178.45 is: 266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.47 : 267.78 = 178.45 : x
  2. Step 2: Convert to fraction form
    179.47/267.78 = 178.45/x
  3. Step 3: Cross multiply
    179.47x = 267.78 × 178.45
  4. Step 4: Simplify right side
    179.47x = 47,785.34
  5. Step 5: Solve for x
    x = 47,785.34/179.47
  6. Step 6: Final answer
    x = 266.26

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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.