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Finding the Fourth Proportional to 170.46, 235.08 and 112.14

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Solution

The fourth proportional to 170.46, 235.08 and 112.14 is: 154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.46 : 235.08 = 112.14 : x
  2. Step 2: Convert to fraction form
    170.46/235.08 = 112.14/x
  3. Step 3: Cross multiply
    170.46x = 235.08 × 112.14
  4. Step 4: Simplify right side
    170.46x = 26,361.87
  5. Step 5: Solve for x
    x = 26,361.87/170.46
  6. Step 6: Final answer
    x = 154.65

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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.