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Finding the Fourth Proportional to 159.36, 219.87 and 154.14

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Solution

The fourth proportional to 159.36, 219.87 and 154.14 is: 212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.36 : 219.87 = 154.14 : x
  2. Step 2: Convert to fraction form
    159.36/219.87 = 154.14/x
  3. Step 3: Cross multiply
    159.36x = 219.87 × 154.14
  4. Step 4: Simplify right side
    159.36x = 33,890.76
  5. Step 5: Solve for x
    x = 33,890.76/159.36
  6. Step 6: Final answer
    x = 212.67

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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.