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Finding the Fourth Proportional to 171.18, 235.62 and 158.82

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Solution

The fourth proportional to 171.18, 235.62 and 158.82 is: 218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.18 : 235.62 = 158.82 : x
  2. Step 2: Convert to fraction form
    171.18/235.62 = 158.82/x
  3. Step 3: Cross multiply
    171.18x = 235.62 × 158.82
  4. Step 4: Simplify right side
    171.18x = 37,421.17
  5. Step 5: Solve for x
    x = 37,421.17/171.18
  6. Step 6: Final answer
    x = 218.61

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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.