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Finding the Fourth Proportional to 147.25, 219.32 and 139.54

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Solution

The fourth proportional to 147.25, 219.32 and 139.54 is: 207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.25 : 219.32 = 139.54 : x
  2. Step 2: Convert to fraction form
    147.25/219.32 = 139.54/x
  3. Step 3: Cross multiply
    147.25x = 219.32 × 139.54
  4. Step 4: Simplify right side
    147.25x = 30,603.91
  5. Step 5: Solve for x
    x = 30,603.91/147.25
  6. Step 6: Final answer
    x = 207.84

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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.