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Finding the Fourth Proportional to 158.95, 219.27 and 103.78

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Solution

The fourth proportional to 158.95, 219.27 and 103.78 is: 143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.95 : 219.27 = 103.78 : x
  2. Step 2: Convert to fraction form
    158.95/219.27 = 103.78/x
  3. Step 3: Cross multiply
    158.95x = 219.27 × 103.78
  4. Step 4: Simplify right side
    158.95x = 22,755.84
  5. Step 5: Solve for x
    x = 22,755.84/158.95
  6. Step 6: Final answer
    x = 143.16

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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.