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Finding the Fourth Proportional to 254.74, 380.74 and 234.24

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Solution

The fourth proportional to 254.74, 380.74 and 234.24 is: 350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.74 : 380.74 = 234.24 : x
  2. Step 2: Convert to fraction form
    254.74/380.74 = 234.24/x
  3. Step 3: Cross multiply
    254.74x = 380.74 × 234.24
  4. Step 4: Simplify right side
    254.74x = 89,182.63
  5. Step 5: Solve for x
    x = 89,182.63/254.74
  6. Step 6: Final answer
    x = 350.09

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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.