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Finding the Fourth Proportional to 385.97, 532.44 and 293.02

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Solution

The fourth proportional to 385.97, 532.44 and 293.02 is: 404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.97 : 532.44 = 293.02 : x
  2. Step 2: Convert to fraction form
    385.97/532.44 = 293.02/x
  3. Step 3: Cross multiply
    385.97x = 532.44 × 293.02
  4. Step 4: Simplify right side
    385.97x = 156,014.24
  5. Step 5: Solve for x
    x = 156,014.24/385.97
  6. Step 6: Final answer
    x = 404.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.