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Finding the Fourth Proportional to 385.08, 531.12 and 319.44

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Solution

The fourth proportional to 385.08, 531.12 and 319.44 is: 440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.08 : 531.12 = 319.44 : x
  2. Step 2: Convert to fraction form
    385.08/531.12 = 319.44/x
  3. Step 3: Cross multiply
    385.08x = 531.12 × 319.44
  4. Step 4: Simplify right side
    385.08x = 169,660.97
  5. Step 5: Solve for x
    x = 169,660.97/385.08
  6. Step 6: Final answer
    x = 440.59

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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.