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Finding the Fourth Proportional to 209.75, 289.40 and 176.67

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Solution

The fourth proportional to 209.75, 289.40 and 176.67 is: 243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 289.40 = 176.67 : x
  2. Step 2: Convert to fraction form
    209.75/289.40 = 176.67/x
  3. Step 3: Cross multiply
    209.75x = 289.40 × 176.67
  4. Step 4: Simplify right side
    209.75x = 51,127.41
  5. Step 5: Solve for x
    x = 51,127.41/209.75
  6. Step 6: Final answer
    x = 243.76

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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.