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Finding the Fourth Proportional to 286.96, 430.45 and 132.85

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Solution

The fourth proportional to 286.96, 430.45 and 132.85 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.96 : 430.45 = 132.85 : x
  2. Step 2: Convert to fraction form
    286.96/430.45 = 132.85/x
  3. Step 3: Cross multiply
    286.96x = 430.45 × 132.85
  4. Step 4: Simplify right side
    286.96x = 57,185.28
  5. Step 5: Solve for x
    x = 57,185.28/286.96
  6. Step 6: Final answer
    x = 199.28

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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.