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Finding the Fourth Proportional to 488.60, 732.72 and 180.38

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Solution

The fourth proportional to 488.60, 732.72 and 180.38 is: 270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.60 : 732.72 = 180.38 : x
  2. Step 2: Convert to fraction form
    488.60/732.72 = 180.38/x
  3. Step 3: Cross multiply
    488.60x = 732.72 × 180.38
  4. Step 4: Simplify right side
    488.60x = 132,168.03
  5. Step 5: Solve for x
    x = 132,168.03/488.60
  6. Step 6: Final answer
    x = 270.50

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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.