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Finding the Fourth Proportional to 286.81, 429.98 and 113.43

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Solution

The fourth proportional to 286.81, 429.98 and 113.43 is: 170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.81 : 429.98 = 113.43 : x
  2. Step 2: Convert to fraction form
    286.81/429.98 = 113.43/x
  3. Step 3: Cross multiply
    286.81x = 429.98 × 113.43
  4. Step 4: Simplify right side
    286.81x = 48,773.68
  5. Step 5: Solve for x
    x = 48,773.68/286.81
  6. Step 6: Final answer
    x = 170.06

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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.