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Finding the Fourth Proportional to 142.11, 210.26 and 141.71

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Solution

The fourth proportional to 142.11, 210.26 and 141.71 is: 209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.11 : 210.26 = 141.71 : x
  2. Step 2: Convert to fraction form
    142.11/210.26 = 141.71/x
  3. Step 3: Cross multiply
    142.11x = 210.26 × 141.71
  4. Step 4: Simplify right side
    142.11x = 29,794.18
  5. Step 5: Solve for x
    x = 29,794.18/142.11
  6. Step 6: Final answer
    x = 209.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.