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Finding the Fourth Proportional to 439.16, 658.13 and 195.48

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Solution

The fourth proportional to 439.16, 658.13 and 195.48 is: 292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.16 : 658.13 = 195.48 : x
  2. Step 2: Convert to fraction form
    439.16/658.13 = 195.48/x
  3. Step 3: Cross multiply
    439.16x = 658.13 × 195.48
  4. Step 4: Simplify right side
    439.16x = 128,650.28
  5. Step 5: Solve for x
    x = 128,650.28/439.16
  6. Step 6: Final answer
    x = 292.95

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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.