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Finding the Fourth Proportional to 146.77, 219.19 and 117.92

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Solution

The fourth proportional to 146.77, 219.19 and 117.92 is: 176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.77 : 219.19 = 117.92 : x
  2. Step 2: Convert to fraction form
    146.77/219.19 = 117.92/x
  3. Step 3: Cross multiply
    146.77x = 219.19 × 117.92
  4. Step 4: Simplify right side
    146.77x = 25,847.14
  5. Step 5: Solve for x
    x = 25,847.14/146.77
  6. Step 6: Final answer
    x = 176.11

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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.