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Finding the Fourth Proportional to 488.78, 732.90 and 180.52

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Solution

The fourth proportional to 488.78, 732.90 and 180.52 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.78 : 732.90 = 180.52 : x
  2. Step 2: Convert to fraction form
    488.78/732.90 = 180.52/x
  3. Step 3: Cross multiply
    488.78x = 732.90 × 180.52
  4. Step 4: Simplify right side
    488.78x = 132,299.44
  5. Step 5: Solve for x
    x = 132,299.44/488.78
  6. Step 6: Final answer
    x = 270.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.