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Finding the Fourth Proportional to 220.90, 329.95 and 159.55

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Solution

The fourth proportional to 220.90, 329.95 and 159.55 is: 238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.90 : 329.95 = 159.55 : x
  2. Step 2: Convert to fraction form
    220.90/329.95 = 159.55/x
  3. Step 3: Cross multiply
    220.90x = 329.95 × 159.55
  4. Step 4: Simplify right side
    220.90x = 52,643.52
  5. Step 5: Solve for x
    x = 52,643.52/220.90
  6. Step 6: Final answer
    x = 238.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.