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Finding the Fourth Proportional to 159.41, 219.87 and 100.34

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Solution

The fourth proportional to 159.41, 219.87 and 100.34 is: 138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.41 : 219.87 = 100.34 : x
  2. Step 2: Convert to fraction form
    159.41/219.87 = 100.34/x
  3. Step 3: Cross multiply
    159.41x = 219.87 × 100.34
  4. Step 4: Simplify right side
    159.41x = 22,061.76
  5. Step 5: Solve for x
    x = 22,061.76/159.41
  6. Step 6: Final answer
    x = 138.40

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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.