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Finding the Fourth Proportional to 146.84, 220.68 and 106.32

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Solution

The fourth proportional to 146.84, 220.68 and 106.32 is: 159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.84 : 220.68 = 106.32 : x
  2. Step 2: Convert to fraction form
    146.84/220.68 = 106.32/x
  3. Step 3: Cross multiply
    146.84x = 220.68 × 106.32
  4. Step 4: Simplify right side
    146.84x = 23,462.70
  5. Step 5: Solve for x
    x = 23,462.70/146.84
  6. Step 6: Final answer
    x = 159.78

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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.