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Finding the Fourth Proportional to 147.30, 220.72 and 141.69

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Solution

The fourth proportional to 147.30, 220.72 and 141.69 is: 212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.30 : 220.72 = 141.69 : x
  2. Step 2: Convert to fraction form
    147.30/220.72 = 141.69/x
  3. Step 3: Cross multiply
    147.30x = 220.72 × 141.69
  4. Step 4: Simplify right side
    147.30x = 31,273.82
  5. Step 5: Solve for x
    x = 31,273.82/147.30
  6. Step 6: Final answer
    x = 212.31

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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.