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Finding the Fourth Proportional to 147.59, 221.29 and 141.65

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Solution

The fourth proportional to 147.59, 221.29 and 141.65 is: 212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.59 : 221.29 = 141.65 : x
  2. Step 2: Convert to fraction form
    147.59/221.29 = 141.65/x
  3. Step 3: Cross multiply
    147.59x = 221.29 × 141.65
  4. Step 4: Simplify right side
    147.59x = 31,345.73
  5. Step 5: Solve for x
    x = 31,345.73/147.59
  6. Step 6: Final answer
    x = 212.38

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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.