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Finding the Fourth Proportional to 178.61, 269.26 and 176.18

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Solution

The fourth proportional to 178.61, 269.26 and 176.18 is: 265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.61 : 269.26 = 176.18 : x
  2. Step 2: Convert to fraction form
    178.61/269.26 = 176.18/x
  3. Step 3: Cross multiply
    178.61x = 269.26 × 176.18
  4. Step 4: Simplify right side
    178.61x = 47,436.44
  5. Step 5: Solve for x
    x = 47,436.44/178.61
  6. Step 6: Final answer
    x = 265.59

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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.