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Finding the Fourth Proportional to 159.92, 221.76 and 154.74

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Solution

The fourth proportional to 159.92, 221.76 and 154.74 is: 214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.92 : 221.76 = 154.74 : x
  2. Step 2: Convert to fraction form
    159.92/221.76 = 154.74/x
  3. Step 3: Cross multiply
    159.92x = 221.76 × 154.74
  4. Step 4: Simplify right side
    159.92x = 34,315.14
  5. Step 5: Solve for x
    x = 34,315.14/159.92
  6. Step 6: Final answer
    x = 214.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.