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Finding the Fourth Proportional to 254.24, 379.52 and 210.88

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Solution

The fourth proportional to 254.24, 379.52 and 210.88 is: 314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.24 : 379.52 = 210.88 : x
  2. Step 2: Convert to fraction form
    254.24/379.52 = 210.88/x
  3. Step 3: Cross multiply
    254.24x = 379.52 × 210.88
  4. Step 4: Simplify right side
    254.24x = 80,033.18
  5. Step 5: Solve for x
    x = 80,033.18/254.24
  6. Step 6: Final answer
    x = 314.79

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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.