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Finding the Fourth Proportional to 209.56, 313.76 and 158.05

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Solution

The fourth proportional to 209.56, 313.76 and 158.05 is: 236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.56 : 313.76 = 158.05 : x
  2. Step 2: Convert to fraction form
    209.56/313.76 = 158.05/x
  3. Step 3: Cross multiply
    209.56x = 313.76 × 158.05
  4. Step 4: Simplify right side
    209.56x = 49,587.41
  5. Step 5: Solve for x
    x = 49,587.41/209.56
  6. Step 6: Final answer
    x = 236.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.