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Finding the Fourth Proportional to 180.68, 269.78 and 156.38

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Solution

The fourth proportional to 180.68, 269.78 and 156.38 is: 233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.68 : 269.78 = 156.38 : x
  2. Step 2: Convert to fraction form
    180.68/269.78 = 156.38/x
  3. Step 3: Cross multiply
    180.68x = 269.78 × 156.38
  4. Step 4: Simplify right side
    180.68x = 42,186.07
  5. Step 5: Solve for x
    x = 42,186.07/180.68
  6. Step 6: Final answer
    x = 233.49

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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.