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Finding the Fourth Proportional to 209.89, 315.24 and 177.67

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Solution

The fourth proportional to 209.89, 315.24 and 177.67 is: 266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.89 : 315.24 = 177.67 : x
  2. Step 2: Convert to fraction form
    209.89/315.24 = 177.67/x
  3. Step 3: Cross multiply
    209.89x = 315.24 × 177.67
  4. Step 4: Simplify right side
    209.89x = 56,008.69
  5. Step 5: Solve for x
    x = 56,008.69/209.89
  6. Step 6: Final answer
    x = 266.85

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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.