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Finding the Fourth Proportional to 385.59, 532.40 and 308.19

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Solution

The fourth proportional to 385.59, 532.40 and 308.19 is: 425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.59 : 532.40 = 308.19 : x
  2. Step 2: Convert to fraction form
    385.59/532.40 = 308.19/x
  3. Step 3: Cross multiply
    385.59x = 532.40 × 308.19
  4. Step 4: Simplify right side
    385.59x = 164,078.82
  5. Step 5: Solve for x
    x = 164,078.82/385.59
  6. Step 6: Final answer
    x = 425.53

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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.