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Finding the Fourth Proportional to 488.62, 732.69 and 163.88

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Solution

The fourth proportional to 488.62, 732.69 and 163.88 is: 245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.62 : 732.69 = 163.88 : x
  2. Step 2: Convert to fraction form
    488.62/732.69 = 163.88/x
  3. Step 3: Cross multiply
    488.62x = 732.69 × 163.88
  4. Step 4: Simplify right side
    488.62x = 120,073.24
  5. Step 5: Solve for x
    x = 120,073.24/488.62
  6. Step 6: Final answer
    x = 245.74

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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.