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Finding the Fourth Proportional to 556.48, 834.80 and 209.76

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Solution

The fourth proportional to 556.48, 834.80 and 209.76 is: 314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.48 : 834.80 = 209.76 : x
  2. Step 2: Convert to fraction form
    556.48/834.80 = 209.76/x
  3. Step 3: Cross multiply
    556.48x = 834.80 × 209.76
  4. Step 4: Simplify right side
    556.48x = 175,107.65
  5. Step 5: Solve for x
    x = 175,107.65/556.48
  6. Step 6: Final answer
    x = 314.67

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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.