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Finding the Fourth Proportional to 142.24, 212.91 and 113.24

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Solution

The fourth proportional to 142.24, 212.91 and 113.24 is: 169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.24 : 212.91 = 113.24 : x
  2. Step 2: Convert to fraction form
    142.24/212.91 = 113.24/x
  3. Step 3: Cross multiply
    142.24x = 212.91 × 113.24
  4. Step 4: Simplify right side
    142.24x = 24,109.93
  5. Step 5: Solve for x
    x = 24,109.93/142.24
  6. Step 6: Final answer
    x = 169.50

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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.