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Finding the Fourth Proportional to 346.69, 519.13 and 209.55

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Solution

The fourth proportional to 346.69, 519.13 and 209.55 is: 313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.69 : 519.13 = 209.55 : x
  2. Step 2: Convert to fraction form
    346.69/519.13 = 209.55/x
  3. Step 3: Cross multiply
    346.69x = 519.13 × 209.55
  4. Step 4: Simplify right side
    346.69x = 108,782.64
  5. Step 5: Solve for x
    x = 108,782.64/346.69
  6. Step 6: Final answer
    x = 313.77

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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.