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Finding the Fourth Proportional to 385.97, 578.33 and 308.53

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Solution

The fourth proportional to 385.97, 578.33 and 308.53 is: 462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.97 : 578.33 = 308.53 : x
  2. Step 2: Convert to fraction form
    385.97/578.33 = 308.53/x
  3. Step 3: Cross multiply
    385.97x = 578.33 × 308.53
  4. Step 4: Simplify right side
    385.97x = 178,427.72
  5. Step 5: Solve for x
    x = 178,427.72/385.97
  6. Step 6: Final answer
    x = 462.28

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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.