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Finding the Fourth Proportional to 142.29, 215.06 and 140.67

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Solution

The fourth proportional to 142.29, 215.06 and 140.67 is: 212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.29 : 215.06 = 140.67 : x
  2. Step 2: Convert to fraction form
    142.29/215.06 = 140.67/x
  3. Step 3: Cross multiply
    142.29x = 215.06 × 140.67
  4. Step 4: Simplify right side
    142.29x = 30,251.79
  5. Step 5: Solve for x
    x = 30,251.79/142.29
  6. Step 6: Final answer
    x = 212.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.