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Finding the Fourth Proportional to 379.97, 569.93 and 136.47

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Solution

The fourth proportional to 379.97, 569.93 and 136.47 is: 204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.97 : 569.93 = 136.47 : x
  2. Step 2: Convert to fraction form
    379.97/569.93 = 136.47/x
  3. Step 3: Cross multiply
    379.97x = 569.93 × 136.47
  4. Step 4: Simplify right side
    379.97x = 77,777.66
  5. Step 5: Solve for x
    x = 77,777.66/379.97
  6. Step 6: Final answer
    x = 204.70

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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.