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Finding the Fourth Proportional to 171.63, 258.32 and 154.86

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Solution

The fourth proportional to 171.63, 258.32 and 154.86 is: 233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.63 : 258.32 = 154.86 : x
  2. Step 2: Convert to fraction form
    171.63/258.32 = 154.86/x
  3. Step 3: Cross multiply
    171.63x = 258.32 × 154.86
  4. Step 4: Simplify right side
    171.63x = 40,002.66
  5. Step 5: Solve for x
    x = 40,002.66/171.63
  6. Step 6: Final answer
    x = 233.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.