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Finding the Fourth Proportional to 110.90, 153.19 and 100.55

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Solution

The fourth proportional to 110.90, 153.19 and 100.55 is: 138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.90 : 153.19 = 100.55 : x
  2. Step 2: Convert to fraction form
    110.90/153.19 = 100.55/x
  3. Step 3: Cross multiply
    110.90x = 153.19 × 100.55
  4. Step 4: Simplify right side
    110.90x = 15,403.76
  5. Step 5: Solve for x
    x = 15,403.76/110.90
  6. Step 6: Final answer
    x = 138.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.