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Finding the Fourth Proportional to 112.90, 155.76 and 83.32

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Solution

The fourth proportional to 112.90, 155.76 and 83.32 is: 114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.90 : 155.76 = 83.32 : x
  2. Step 2: Convert to fraction form
    112.90/155.76 = 83.32/x
  3. Step 3: Cross multiply
    112.90x = 155.76 × 83.32
  4. Step 4: Simplify right side
    112.90x = 12,977.92
  5. Step 5: Solve for x
    x = 12,977.92/112.90
  6. Step 6: Final answer
    x = 114.95

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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.