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Finding the Fourth Proportional to 254.54, 350.88 and 209.74

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Solution

The fourth proportional to 254.54, 350.88 and 209.74 is: 289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.54 : 350.88 = 209.74 : x
  2. Step 2: Convert to fraction form
    254.54/350.88 = 209.74/x
  3. Step 3: Cross multiply
    254.54x = 350.88 × 209.74
  4. Step 4: Simplify right side
    254.54x = 73,593.75
  5. Step 5: Solve for x
    x = 73,593.75/254.54
  6. Step 6: Final answer
    x = 289.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.