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Finding the Fourth Proportional to 171, 235.84 and 115.72

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Solution

The fourth proportional to 171, 235.84 and 115.72 is: 159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171 : 235.84 = 115.72 : x
  2. Step 2: Convert to fraction form
    171/235.84 = 115.72/x
  3. Step 3: Cross multiply
    171x = 235.84 × 115.72
  4. Step 4: Simplify right side
    171x = 27,291.40
  5. Step 5: Solve for x
    x = 27,291.40/171
  6. Step 6: Final answer
    x = 159.60

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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.