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Finding the Fourth Proportional to 346.39, 519.78 and 209.90

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Solution

The fourth proportional to 346.39, 519.78 and 209.90 is: 314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.39 : 519.78 = 209.90 : x
  2. Step 2: Convert to fraction form
    346.39/519.78 = 209.90/x
  3. Step 3: Cross multiply
    346.39x = 519.78 × 209.90
  4. Step 4: Simplify right side
    346.39x = 109,101.82
  5. Step 5: Solve for x
    x = 109,101.82/346.39
  6. Step 6: Final answer
    x = 314.97

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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.