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Finding the Fourth Proportional to 346.52, 519.91 and 209.66

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Solution

The fourth proportional to 346.52, 519.91 and 209.66 is: 314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.52 : 519.91 = 209.66 : x
  2. Step 2: Convert to fraction form
    346.52/519.91 = 209.66/x
  3. Step 3: Cross multiply
    346.52x = 519.91 × 209.66
  4. Step 4: Simplify right side
    346.52x = 109,001.21
  5. Step 5: Solve for x
    x = 109,001.21/346.52
  6. Step 6: Final answer
    x = 314.56

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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.