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Finding the Fourth Proportional to 180.43, 269.12 and 176.38

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Solution

The fourth proportional to 180.43, 269.12 and 176.38 is: 263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.43 : 269.12 = 176.38 : x
  2. Step 2: Convert to fraction form
    180.43/269.12 = 176.38/x
  3. Step 3: Cross multiply
    180.43x = 269.12 × 176.38
  4. Step 4: Simplify right side
    180.43x = 47,467.15
  5. Step 5: Solve for x
    x = 47,467.15/180.43
  6. Step 6: Final answer
    x = 263.08

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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.