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Finding the Fourth Proportional to 254.52, 350.33 and 212.61

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Solution

The fourth proportional to 254.52, 350.33 and 212.61 is: 292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.52 : 350.33 = 212.61 : x
  2. Step 2: Convert to fraction form
    254.52/350.33 = 212.61/x
  3. Step 3: Cross multiply
    254.52x = 350.33 × 212.61
  4. Step 4: Simplify right side
    254.52x = 74,482.60
  5. Step 5: Solve for x
    x = 74,482.60/254.52
  6. Step 6: Final answer
    x = 292.64

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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.