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Finding the Fourth Proportional to 254.34, 350.15 and 221.57

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Solution

The fourth proportional to 254.34, 350.15 and 221.57 is: 305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.34 : 350.15 = 221.57 : x
  2. Step 2: Convert to fraction form
    254.34/350.15 = 221.57/x
  3. Step 3: Cross multiply
    254.34x = 350.15 × 221.57
  4. Step 4: Simplify right side
    254.34x = 77,582.74
  5. Step 5: Solve for x
    x = 77,582.74/254.34
  6. Step 6: Final answer
    x = 305.04

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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.