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Finding the Fourth Proportional to 112.32, 167.64 and 103.77

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Solution

The fourth proportional to 112.32, 167.64 and 103.77 is: 154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.32 : 167.64 = 103.77 : x
  2. Step 2: Convert to fraction form
    112.32/167.64 = 103.77/x
  3. Step 3: Cross multiply
    112.32x = 167.64 × 103.77
  4. Step 4: Simplify right side
    112.32x = 17,396.00
  5. Step 5: Solve for x
    x = 17,396.00/112.32
  6. Step 6: Final answer
    x = 154.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.