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Finding the Fourth Proportional to 385.25, 531.30 and 287.24

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Solution

The fourth proportional to 385.25, 531.30 and 287.24 is: 396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.25 : 531.30 = 287.24 : x
  2. Step 2: Convert to fraction form
    385.25/531.30 = 287.24/x
  3. Step 3: Cross multiply
    385.25x = 531.30 × 287.24
  4. Step 4: Simplify right side
    385.25x = 152,607.96
  5. Step 5: Solve for x
    x = 152,607.96/385.25
  6. Step 6: Final answer
    x = 396.13

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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.