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Finding the Fourth Proportional to 215.06, 321.71 and 141.89

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Solution

The fourth proportional to 215.06, 321.71 and 141.89 is: 212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.06 : 321.71 = 141.89 : x
  2. Step 2: Convert to fraction form
    215.06/321.71 = 141.89/x
  3. Step 3: Cross multiply
    215.06x = 321.71 × 141.89
  4. Step 4: Simplify right side
    215.06x = 45,645.11
  5. Step 5: Solve for x
    x = 45,645.11/215.06
  6. Step 6: Final answer
    x = 212.25

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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.