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Finding the Fourth Proportional to 114.82, 173.20 and 101.44

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Solution

The fourth proportional to 114.82, 173.20 and 101.44 is: 153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.82 : 173.20 = 101.44 : x
  2. Step 2: Convert to fraction form
    114.82/173.20 = 101.44/x
  3. Step 3: Cross multiply
    114.82x = 173.20 × 101.44
  4. Step 4: Simplify right side
    114.82x = 17,569.41
  5. Step 5: Solve for x
    x = 17,569.41/114.82
  6. Step 6: Final answer
    x = 153.02

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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.