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Finding the Fourth Proportional to 220.71, 304.97 and 158.75

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Solution

The fourth proportional to 220.71, 304.97 and 158.75 is: 219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.71 : 304.97 = 158.75 : x
  2. Step 2: Convert to fraction form
    220.71/304.97 = 158.75/x
  3. Step 3: Cross multiply
    220.71x = 304.97 × 158.75
  4. Step 4: Simplify right side
    220.71x = 48,412.56
  5. Step 5: Solve for x
    x = 48,412.56/220.71
  6. Step 6: Final answer
    x = 219.35

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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.