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Finding the Fourth Proportional to 159.21, 219.63 and 100.17

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Solution

The fourth proportional to 159.21, 219.63 and 100.17 is: 138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.21 : 219.63 = 100.17 : x
  2. Step 2: Convert to fraction form
    159.21/219.63 = 100.17/x
  3. Step 3: Cross multiply
    159.21x = 219.63 × 100.17
  4. Step 4: Simplify right side
    159.21x = 22,000.34
  5. Step 5: Solve for x
    x = 22,000.34/159.21
  6. Step 6: Final answer
    x = 138.18

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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.