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Finding the Fourth Proportional to 551.38, 826.51 and 346.09

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Solution

The fourth proportional to 551.38, 826.51 and 346.09 is: 518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.38 : 826.51 = 346.09 : x
  2. Step 2: Convert to fraction form
    551.38/826.51 = 346.09/x
  3. Step 3: Cross multiply
    551.38x = 826.51 × 346.09
  4. Step 4: Simplify right side
    551.38x = 286,040.98
  5. Step 5: Solve for x
    x = 286,040.98/551.38
  6. Step 6: Final answer
    x = 518.78

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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.