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Finding the Fourth Proportional to 148.28, 221.39 and 125.00

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Solution

The fourth proportional to 148.28, 221.39 and 125.00 is: 186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.28 : 221.39 = 125.00 : x
  2. Step 2: Convert to fraction form
    148.28/221.39 = 125.00/x
  3. Step 3: Cross multiply
    148.28x = 221.39 × 125.00
  4. Step 4: Simplify right side
    148.28x = 27,672.96
  5. Step 5: Solve for x
    x = 27,672.96/148.28
  6. Step 6: Final answer
    x = 186.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.