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Finding the Fourth Proportional to 379.31, 569.00 and 135.78

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Solution

The fourth proportional to 379.31, 569.00 and 135.78 is: 203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.31 : 569.00 = 135.78 : x
  2. Step 2: Convert to fraction form
    379.31/569.00 = 135.78/x
  3. Step 3: Cross multiply
    379.31x = 569.00 × 135.78
  4. Step 4: Simplify right side
    379.31x = 77,256.64
  5. Step 5: Solve for x
    x = 77,256.64/379.31
  6. Step 6: Final answer
    x = 203.68

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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.