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Finding the Fourth Proportional to 385.55, 576.95 and 282.58

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Solution

The fourth proportional to 385.55, 576.95 and 282.58 is: 422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.55 : 576.95 = 282.58 : x
  2. Step 2: Convert to fraction form
    385.55/576.95 = 282.58/x
  3. Step 3: Cross multiply
    385.55x = 576.95 × 282.58
  4. Step 4: Simplify right side
    385.55x = 163,034.53
  5. Step 5: Solve for x
    x = 163,034.53/385.55
  6. Step 6: Final answer
    x = 422.86

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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.