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Finding the Fourth Proportional to 170.96, 235.59 and 154.40

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Solution

The fourth proportional to 170.96, 235.59 and 154.40 is: 212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.96 : 235.59 = 154.40 : x
  2. Step 2: Convert to fraction form
    170.96/235.59 = 154.40/x
  3. Step 3: Cross multiply
    170.96x = 235.59 × 154.40
  4. Step 4: Simplify right side
    170.96x = 36,375.10
  5. Step 5: Solve for x
    x = 36,375.10/170.96
  6. Step 6: Final answer
    x = 212.77

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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.