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Finding the Fourth Proportional to 142.16, 212.96 and 113.33

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Solution

The fourth proportional to 142.16, 212.96 and 113.33 is: 169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.16 : 212.96 = 113.33 : x
  2. Step 2: Convert to fraction form
    142.16/212.96 = 113.33/x
  3. Step 3: Cross multiply
    142.16x = 212.96 × 113.33
  4. Step 4: Simplify right side
    142.16x = 24,134.76
  5. Step 5: Solve for x
    x = 24,134.76/142.16
  6. Step 6: Final answer
    x = 169.77

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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.