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Finding the Fourth Proportional to 346.73, 519.83 and 209.74

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Solution

The fourth proportional to 346.73, 519.83 and 209.74 is: 314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.73 : 519.83 = 209.74 : x
  2. Step 2: Convert to fraction form
    346.73/519.83 = 209.74/x
  3. Step 3: Cross multiply
    346.73x = 519.83 × 209.74
  4. Step 4: Simplify right side
    346.73x = 109,029.14
  5. Step 5: Solve for x
    x = 109,029.14/346.73
  6. Step 6: Final answer
    x = 314.45

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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.