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Finding the Fourth Proportional to 159.02, 219.49 and 103.76

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Solution

The fourth proportional to 159.02, 219.49 and 103.76 is: 143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.02 : 219.49 = 103.76 : x
  2. Step 2: Convert to fraction form
    159.02/219.49 = 103.76/x
  3. Step 3: Cross multiply
    159.02x = 219.49 × 103.76
  4. Step 4: Simplify right side
    159.02x = 22,774.28
  5. Step 5: Solve for x
    x = 22,774.28/159.02
  6. Step 6: Final answer
    x = 143.22

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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.