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Finding the Fourth Proportional to 346.98, 519.90 and 209.85

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Solution

The fourth proportional to 346.98, 519.90 and 209.85 is: 314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.98 : 519.90 = 209.85 : x
  2. Step 2: Convert to fraction form
    346.98/519.90 = 209.85/x
  3. Step 3: Cross multiply
    346.98x = 519.90 × 209.85
  4. Step 4: Simplify right side
    346.98x = 109,101.02
  5. Step 5: Solve for x
    x = 109,101.02/346.98
  6. Step 6: Final answer
    x = 314.43

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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.