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Finding the Fourth Proportional to 438.70, 658.38 and 195.38

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Solution

The fourth proportional to 438.70, 658.38 and 195.38 is: 293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.70 : 658.38 = 195.38 : x
  2. Step 2: Convert to fraction form
    438.70/658.38 = 195.38/x
  3. Step 3: Cross multiply
    438.70x = 658.38 × 195.38
  4. Step 4: Simplify right side
    438.70x = 128,634.28
  5. Step 5: Solve for x
    x = 128,634.28/438.70
  6. Step 6: Final answer
    x = 293.22

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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.