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Finding the Fourth Proportional to 146.86, 221.39 and 136.95

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Solution

The fourth proportional to 146.86, 221.39 and 136.95 is: 206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.86 : 221.39 = 136.95 : x
  2. Step 2: Convert to fraction form
    146.86/221.39 = 136.95/x
  3. Step 3: Cross multiply
    146.86x = 221.39 × 136.95
  4. Step 4: Simplify right side
    146.86x = 30,319.36
  5. Step 5: Solve for x
    x = 30,319.36/146.86
  6. Step 6: Final answer
    x = 206.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.