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Finding the Fourth Proportional to 146.71, 221.37 and 141.08

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Solution

The fourth proportional to 146.71, 221.37 and 141.08 is: 212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.71 : 221.37 = 141.08 : x
  2. Step 2: Convert to fraction form
    146.71/221.37 = 141.08/x
  3. Step 3: Cross multiply
    146.71x = 221.37 × 141.08
  4. Step 4: Simplify right side
    146.71x = 31,230.88
  5. Step 5: Solve for x
    x = 31,230.88/146.71
  6. Step 6: Final answer
    x = 212.87

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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.