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Finding the Fourth Proportional to 488.63, 732.92 and 141.97

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Solution

The fourth proportional to 488.63, 732.92 and 141.97 is: 212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.63 : 732.92 = 141.97 : x
  2. Step 2: Convert to fraction form
    488.63/732.92 = 141.97/x
  3. Step 3: Cross multiply
    488.63x = 732.92 × 141.97
  4. Step 4: Simplify right side
    488.63x = 104,052.65
  5. Step 5: Solve for x
    x = 104,052.65/488.63
  6. Step 6: Final answer
    x = 212.95

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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.