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Finding the Fourth Proportional to 488.77, 732.76 and 180.43

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Solution

The fourth proportional to 488.77, 732.76 and 180.43 is: 270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.77 : 732.76 = 180.43 : x
  2. Step 2: Convert to fraction form
    488.77/732.76 = 180.43/x
  3. Step 3: Cross multiply
    488.77x = 732.76 × 180.43
  4. Step 4: Simplify right side
    488.77x = 132,209.86
  5. Step 5: Solve for x
    x = 132,209.86/488.77
  6. Step 6: Final answer
    x = 270.49

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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.