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Finding the Fourth Proportional to 286.30, 429.21 and 112.87

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Solution

The fourth proportional to 286.30, 429.21 and 112.87 is: 169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.30 : 429.21 = 112.87 : x
  2. Step 2: Convert to fraction form
    286.30/429.21 = 112.87/x
  3. Step 3: Cross multiply
    286.30x = 429.21 × 112.87
  4. Step 4: Simplify right side
    286.30x = 48,444.93
  5. Step 5: Solve for x
    x = 48,444.93/286.30
  6. Step 6: Final answer
    x = 169.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.