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Finding the Fourth Proportional to 112.24, 153.72 and 108.64

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Solution

The fourth proportional to 112.24, 153.72 and 108.64 is: 148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.24 : 153.72 = 108.64 : x
  2. Step 2: Convert to fraction form
    112.24/153.72 = 108.64/x
  3. Step 3: Cross multiply
    112.24x = 153.72 × 108.64
  4. Step 4: Simplify right side
    112.24x = 16,700.14
  5. Step 5: Solve for x
    x = 16,700.14/112.24
  6. Step 6: Final answer
    x = 148.79

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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.