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Finding the Fourth Proportional to 111.64, 153.26 and 100.66

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Solution

The fourth proportional to 111.64, 153.26 and 100.66 is: 138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.64 : 153.26 = 100.66 : x
  2. Step 2: Convert to fraction form
    111.64/153.26 = 100.66/x
  3. Step 3: Cross multiply
    111.64x = 153.26 × 100.66
  4. Step 4: Simplify right side
    111.64x = 15,427.15
  5. Step 5: Solve for x
    x = 15,427.15/111.64
  6. Step 6: Final answer
    x = 138.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.