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Finding the Fourth Proportional to 379.76, 569.29 and 282.15

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Solution

The fourth proportional to 379.76, 569.29 and 282.15 is: 422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.76 : 569.29 = 282.15 : x
  2. Step 2: Convert to fraction form
    379.76/569.29 = 282.15/x
  3. Step 3: Cross multiply
    379.76x = 569.29 × 282.15
  4. Step 4: Simplify right side
    379.76x = 160,625.17
  5. Step 5: Solve for x
    x = 160,625.17/379.76
  6. Step 6: Final answer
    x = 422.96

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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.