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Finding the Fourth Proportional to 209.84, 315.84 and 158.76

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Solution

The fourth proportional to 209.84, 315.84 and 158.76 is: 238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 315.84 = 158.76 : x
  2. Step 2: Convert to fraction form
    209.84/315.84 = 158.76/x
  3. Step 3: Cross multiply
    209.84x = 315.84 × 158.76
  4. Step 4: Simplify right side
    209.84x = 50,142.76
  5. Step 5: Solve for x
    x = 50,142.76/209.84
  6. Step 6: Final answer
    x = 238.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.