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Finding the Fourth Proportional to 385.24, 531.31 and 287.23

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Solution

The fourth proportional to 385.24, 531.31 and 287.23 is: 396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.24 : 531.31 = 287.23 : x
  2. Step 2: Convert to fraction form
    385.24/531.31 = 287.23/x
  3. Step 3: Cross multiply
    385.24x = 531.31 × 287.23
  4. Step 4: Simplify right side
    385.24x = 152,606.74
  5. Step 5: Solve for x
    x = 152,606.74/385.24
  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.