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Finding the Fourth Proportional to 180.42, 250.67 and 177.38

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Solution

The fourth proportional to 180.42, 250.67 and 177.38 is: 246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.42 : 250.67 = 177.38 : x
  2. Step 2: Convert to fraction form
    180.42/250.67 = 177.38/x
  3. Step 3: Cross multiply
    180.42x = 250.67 × 177.38
  4. Step 4: Simplify right side
    180.42x = 44,463.84
  5. Step 5: Solve for x
    x = 44,463.84/180.42
  6. Step 6: Final answer
    x = 246.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.