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Finding the Fourth Proportional to 170.57, 235.31 and 121.37

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Solution

The fourth proportional to 170.57, 235.31 and 121.37 is: 167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.57 : 235.31 = 121.37 : x
  2. Step 2: Convert to fraction form
    170.57/235.31 = 121.37/x
  3. Step 3: Cross multiply
    170.57x = 235.31 × 121.37
  4. Step 4: Simplify right side
    170.57x = 28,557.79
  5. Step 5: Solve for x
    x = 28,557.79/170.57
  6. Step 6: Final answer
    x = 167.42

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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.