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Finding the Fourth Proportional to 556.31, 834.47 and 209.83

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Solution

The fourth proportional to 556.31, 834.47 and 209.83 is: 314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.31 : 834.47 = 209.83 : x
  2. Step 2: Convert to fraction form
    556.31/834.47 = 209.83/x
  3. Step 3: Cross multiply
    556.31x = 834.47 × 209.83
  4. Step 4: Simplify right side
    556.31x = 175,096.84
  5. Step 5: Solve for x
    x = 175,096.84/556.31
  6. Step 6: Final answer
    x = 314.75

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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.