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Finding the Fourth Proportional to 251.41, 375.27 and 233.78

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Solution

The fourth proportional to 251.41, 375.27 and 233.78 is: 348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.41 : 375.27 = 233.78 : x
  2. Step 2: Convert to fraction form
    251.41/375.27 = 233.78/x
  3. Step 3: Cross multiply
    251.41x = 375.27 × 233.78
  4. Step 4: Simplify right side
    251.41x = 87,731.77
  5. Step 5: Solve for x
    x = 87,731.77/251.41
  6. Step 6: Final answer
    x = 348.96

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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.