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Finding the Fourth Proportional to 438.56, 658.07 and 195.26

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Solution

The fourth proportional to 438.56, 658.07 and 195.26 is: 292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.56 : 658.07 = 195.26 : x
  2. Step 2: Convert to fraction form
    438.56/658.07 = 195.26/x
  3. Step 3: Cross multiply
    438.56x = 658.07 × 195.26
  4. Step 4: Simplify right side
    438.56x = 128,493.77
  5. Step 5: Solve for x
    x = 128,493.77/438.56
  6. Step 6: Final answer
    x = 292.99

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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.