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Finding the Fourth Proportional to 385.28, 576.62 and 293.46

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Solution

The fourth proportional to 385.28, 576.62 and 293.46 is: 439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.28 : 576.62 = 293.46 : x
  2. Step 2: Convert to fraction form
    385.28/576.62 = 293.46/x
  3. Step 3: Cross multiply
    385.28x = 576.62 × 293.46
  4. Step 4: Simplify right side
    385.28x = 169,214.91
  5. Step 5: Solve for x
    x = 169,214.91/385.28
  6. Step 6: Final answer
    x = 439.20

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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.