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Finding the Fourth Proportional to 147.49, 221.39 and 70.52

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Solution

The fourth proportional to 147.49, 221.39 and 70.52 is: 105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.49 : 221.39 = 70.52 : x
  2. Step 2: Convert to fraction form
    147.49/221.39 = 70.52/x
  3. Step 3: Cross multiply
    147.49x = 221.39 × 70.52
  4. Step 4: Simplify right side
    147.49x = 15,610.96
  5. Step 5: Solve for x
    x = 15,610.96/147.49
  6. Step 6: Final answer
    x = 105.85

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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.