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Finding the Fourth Proportional to 286.31, 426.47 and 282.53

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Solution

The fourth proportional to 286.31, 426.47 and 282.53 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.31 : 426.47 = 282.53 : x
  2. Step 2: Convert to fraction form
    286.31/426.47 = 282.53/x
  3. Step 3: Cross multiply
    286.31x = 426.47 × 282.53
  4. Step 4: Simplify right side
    286.31x = 120,490.57
  5. Step 5: Solve for x
    x = 120,490.57/286.31
  6. Step 6: Final answer
    x = 420.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.