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Finding the Fourth Proportional to 286.50, 429.78 and 132.40

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Solution

The fourth proportional to 286.50, 429.78 and 132.40 is: 198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.50 : 429.78 = 132.40 : x
  2. Step 2: Convert to fraction form
    286.50/429.78 = 132.40/x
  3. Step 3: Cross multiply
    286.50x = 429.78 × 132.40
  4. Step 4: Simplify right side
    286.50x = 56,902.87
  5. Step 5: Solve for x
    x = 56,902.87/286.50
  6. Step 6: Final answer
    x = 198.61

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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.