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Finding the Fourth Proportional to 180.34, 250.54 and 178.65

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Solution

The fourth proportional to 180.34, 250.54 and 178.65 is: 248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.34 : 250.54 = 178.65 : x
  2. Step 2: Convert to fraction form
    180.34/250.54 = 178.65/x
  3. Step 3: Cross multiply
    180.34x = 250.54 × 178.65
  4. Step 4: Simplify right side
    180.34x = 44,758.52
  5. Step 5: Solve for x
    x = 44,758.52/180.34
  6. Step 6: Final answer
    x = 248.19

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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.