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Finding the Fourth Proportional to 240.74, 359.64 and 171.72

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Solution

The fourth proportional to 240.74, 359.64 and 171.72 is: 256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.74 : 359.64 = 171.72 : x
  2. Step 2: Convert to fraction form
    240.74/359.64 = 171.72/x
  3. Step 3: Cross multiply
    240.74x = 359.64 × 171.72
  4. Step 4: Simplify right side
    240.74x = 61,757.38
  5. Step 5: Solve for x
    x = 61,757.38/240.74
  6. Step 6: Final answer
    x = 256.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.