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Finding the Fourth Proportional to 171.63, 235.89 and 146.88

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Solution

The fourth proportional to 171.63, 235.89 and 146.88 is: 201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.63 : 235.89 = 146.88 : x
  2. Step 2: Convert to fraction form
    171.63/235.89 = 146.88/x
  3. Step 3: Cross multiply
    171.63x = 235.89 × 146.88
  4. Step 4: Simplify right side
    171.63x = 34,647.52
  5. Step 5: Solve for x
    x = 34,647.52/171.63
  6. Step 6: Final answer
    x = 201.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.