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Finding the Fourth Proportional to 251.74, 378.28 and 154.24

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Solution

The fourth proportional to 251.74, 378.28 and 154.24 is: 231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.74 : 378.28 = 154.24 : x
  2. Step 2: Convert to fraction form
    251.74/378.28 = 154.24/x
  3. Step 3: Cross multiply
    251.74x = 378.28 × 154.24
  4. Step 4: Simplify right side
    251.74x = 58,345.91
  5. Step 5: Solve for x
    x = 58,345.91/251.74
  6. Step 6: Final answer
    x = 231.77

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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.