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Finding the Fourth Proportional to 638.73, 958.12 and 176.50

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Solution

The fourth proportional to 638.73, 958.12 and 176.50 is: 264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.73 : 958.12 = 176.50 : x
  2. Step 2: Convert to fraction form
    638.73/958.12 = 176.50/x
  3. Step 3: Cross multiply
    638.73x = 958.12 × 176.50
  4. Step 4: Simplify right side
    638.73x = 169,108.18
  5. Step 5: Solve for x
    x = 169,108.18/638.73
  6. Step 6: Final answer
    x = 264.76

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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.