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Finding the Fourth Proportional to 240.75, 359.80 and 175.89

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Solution

The fourth proportional to 240.75, 359.80 and 175.89 is: 262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 359.80 = 175.89 : x
  2. Step 2: Convert to fraction form
    240.75/359.80 = 175.89/x
  3. Step 3: Cross multiply
    240.75x = 359.80 × 175.89
  4. Step 4: Simplify right side
    240.75x = 63,283.42
  5. Step 5: Solve for x
    x = 63,283.42/240.75
  6. Step 6: Final answer
    x = 262.86

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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.