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Finding the Fourth Proportional to 254.42, 349.83 and 217.52

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Solution

The fourth proportional to 254.42, 349.83 and 217.52 is: 299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.42 : 349.83 = 217.52 : x
  2. Step 2: Convert to fraction form
    254.42/349.83 = 217.52/x
  3. Step 3: Cross multiply
    254.42x = 349.83 × 217.52
  4. Step 4: Simplify right side
    254.42x = 76,095.02
  5. Step 5: Solve for x
    x = 76,095.02/254.42
  6. Step 6: Final answer
    x = 299.09

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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.