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Finding the Fourth Proportional to 254.24, 379.40 and 233.56

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Solution

The fourth proportional to 254.24, 379.40 and 233.56 is: 348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.24 : 379.40 = 233.56 : x
  2. Step 2: Convert to fraction form
    254.24/379.40 = 233.56/x
  3. Step 3: Cross multiply
    254.24x = 379.40 × 233.56
  4. Step 4: Simplify right side
    254.24x = 88,612.66
  5. Step 5: Solve for x
    x = 88,612.66/254.24
  6. Step 6: Final answer
    x = 348.54

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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.