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Finding the Fourth Proportional to 379.53, 568.82 and 135.79

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Solution

The fourth proportional to 379.53, 568.82 and 135.79 is: 203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.53 : 568.82 = 135.79 : x
  2. Step 2: Convert to fraction form
    379.53/568.82 = 135.79/x
  3. Step 3: Cross multiply
    379.53x = 568.82 × 135.79
  4. Step 4: Simplify right side
    379.53x = 77,238.99
  5. Step 5: Solve for x
    x = 77,238.99/379.53
  6. Step 6: Final answer
    x = 203.51

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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.