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Finding the Fourth Proportional to 178.68, 269.37 and 165.36

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Solution

The fourth proportional to 178.68, 269.37 and 165.36 is: 249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.68 : 269.37 = 165.36 : x
  2. Step 2: Convert to fraction form
    178.68/269.37 = 165.36/x
  3. Step 3: Cross multiply
    178.68x = 269.37 × 165.36
  4. Step 4: Simplify right side
    178.68x = 44,543.02
  5. Step 5: Solve for x
    x = 44,543.02/178.68
  6. Step 6: Final answer
    x = 249.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.