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Finding the Fourth Proportional to 114.92, 172.22 and 53.90

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Solution

The fourth proportional to 114.92, 172.22 and 53.90 is: 80.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.92 : 172.22 = 53.90 : x
  2. Step 2: Convert to fraction form
    114.92/172.22 = 53.90/x
  3. Step 3: Cross multiply
    114.92x = 172.22 × 53.90
  4. Step 4: Simplify right side
    114.92x = 9,282.66
  5. Step 5: Solve for x
    x = 9,282.66/114.92
  6. Step 6: Final answer
    x = 80.77

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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.