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Finding the Fourth Proportional to 551.26, 826.85 and 209.02

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Solution

The fourth proportional to 551.26, 826.85 and 209.02 is: 313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.26 : 826.85 = 209.02 : x
  2. Step 2: Convert to fraction form
    551.26/826.85 = 209.02/x
  3. Step 3: Cross multiply
    551.26x = 826.85 × 209.02
  4. Step 4: Simplify right side
    551.26x = 172,828.19
  5. Step 5: Solve for x
    x = 172,828.19/551.26
  6. Step 6: Final answer
    x = 313.51

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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.