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Finding the Fourth Proportional to 379.97, 565.55 and 371.46

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Solution

The fourth proportional to 379.97, 565.55 and 371.46 is: 552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.97 : 565.55 = 371.46 : x
  2. Step 2: Convert to fraction form
    379.97/565.55 = 371.46/x
  3. Step 3: Cross multiply
    379.97x = 565.55 × 371.46
  4. Step 4: Simplify right side
    379.97x = 210,080.86
  5. Step 5: Solve for x
    x = 210,080.86/379.97
  6. Step 6: Final answer
    x = 552.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.