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Finding the Fourth Proportional to 220.90, 304.78 and 158.71

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Solution

The fourth proportional to 220.90, 304.78 and 158.71 is: 218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.90 : 304.78 = 158.71 : x
  2. Step 2: Convert to fraction form
    220.90/304.78 = 158.71/x
  3. Step 3: Cross multiply
    220.90x = 304.78 × 158.71
  4. Step 4: Simplify right side
    220.90x = 48,371.63
  5. Step 5: Solve for x
    x = 48,371.63/220.90
  6. Step 6: Final answer
    x = 218.98

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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.