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Finding the Fourth Proportional to 178.47, 266.42 and 165.78

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Solution

The fourth proportional to 178.47, 266.42 and 165.78 is: 247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.47 : 266.42 = 165.78 : x
  2. Step 2: Convert to fraction form
    178.47/266.42 = 165.78/x
  3. Step 3: Cross multiply
    178.47x = 266.42 × 165.78
  4. Step 4: Simplify right side
    178.47x = 44,167.11
  5. Step 5: Solve for x
    x = 44,167.11/178.47
  6. Step 6: Final answer
    x = 247.48

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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.