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Finding the Fourth Proportional to 112.02, 154.61 and 84.38

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Solution

The fourth proportional to 112.02, 154.61 and 84.38 is: 116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.02 : 154.61 = 84.38 : x
  2. Step 2: Convert to fraction form
    112.02/154.61 = 84.38/x
  3. Step 3: Cross multiply
    112.02x = 154.61 × 84.38
  4. Step 4: Simplify right side
    112.02x = 13,045.11
  5. Step 5: Solve for x
    x = 13,045.11/112.02
  6. Step 6: Final answer
    x = 116.46

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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.