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Finding the Fourth Proportional to 142.50, 213.49 and 113.65

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Solution

The fourth proportional to 142.50, 213.49 and 113.65 is: 170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.50 : 213.49 = 113.65 : x
  2. Step 2: Convert to fraction form
    142.50/213.49 = 113.65/x
  3. Step 3: Cross multiply
    142.50x = 213.49 × 113.65
  4. Step 4: Simplify right side
    142.50x = 24,261.50
  5. Step 5: Solve for x
    x = 24,261.50/142.50
  6. Step 6: Final answer
    x = 170.26

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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.