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Finding the Fourth Proportional to 158.90, 220.35 and 153.90

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Solution

The fourth proportional to 158.90, 220.35 and 153.90 is: 213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.90 : 220.35 = 153.90 : x
  2. Step 2: Convert to fraction form
    158.90/220.35 = 153.90/x
  3. Step 3: Cross multiply
    158.90x = 220.35 × 153.90
  4. Step 4: Simplify right side
    158.90x = 33,912.44
  5. Step 5: Solve for x
    x = 33,912.44/158.90
  6. Step 6: Final answer
    x = 213.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.