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Finding the Fourth Proportional to 385.10, 580.81 and 372.78

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Solution

The fourth proportional to 385.10, 580.81 and 372.78 is: 562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.10 : 580.81 = 372.78 : x
  2. Step 2: Convert to fraction form
    385.10/580.81 = 372.78/x
  3. Step 3: Cross multiply
    385.10x = 580.81 × 372.78
  4. Step 4: Simplify right side
    385.10x = 216,514.35
  5. Step 5: Solve for x
    x = 216,514.35/385.10
  6. Step 6: Final answer
    x = 562.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.