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Finding the Fourth Proportional to 118.95, 164.33 and 112.87

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Solution

The fourth proportional to 118.95, 164.33 and 112.87 is: 155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.95 : 164.33 = 112.87 : x
  2. Step 2: Convert to fraction form
    118.95/164.33 = 112.87/x
  3. Step 3: Cross multiply
    118.95x = 164.33 × 112.87
  4. Step 4: Simplify right side
    118.95x = 18,547.93
  5. Step 5: Solve for x
    x = 18,547.93/118.95
  6. Step 6: Final answer
    x = 155.93

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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.