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Finding the Fourth Proportional to 470.88, 706.39 and 178.49

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Solution

The fourth proportional to 470.88, 706.39 and 178.49 is: 267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.88 : 706.39 = 178.49 : x
  2. Step 2: Convert to fraction form
    470.88/706.39 = 178.49/x
  3. Step 3: Cross multiply
    470.88x = 706.39 × 178.49
  4. Step 4: Simplify right side
    470.88x = 126,083.88
  5. Step 5: Solve for x
    x = 126,083.88/470.88
  6. Step 6: Final answer
    x = 267.76

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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.