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Finding the Fourth Proportional to 142.85, 213.08 and 129.17

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Solution

The fourth proportional to 142.85, 213.08 and 129.17 is: 192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.85 : 213.08 = 129.17 : x
  2. Step 2: Convert to fraction form
    142.85/213.08 = 129.17/x
  3. Step 3: Cross multiply
    142.85x = 213.08 × 129.17
  4. Step 4: Simplify right side
    142.85x = 27,523.01
  5. Step 5: Solve for x
    x = 27,523.01/142.85
  6. Step 6: Final answer
    x = 192.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.