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Finding the Fourth Proportional to 240.27, 359.64 and 171.42

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Solution

The fourth proportional to 240.27, 359.64 and 171.42 is: 256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.27 : 359.64 = 171.42 : x
  2. Step 2: Convert to fraction form
    240.27/359.64 = 171.42/x
  3. Step 3: Cross multiply
    240.27x = 359.64 × 171.42
  4. Step 4: Simplify right side
    240.27x = 61,648.14
  5. Step 5: Solve for x
    x = 61,648.14/240.27
  6. Step 6: Final answer
    x = 256.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.