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Finding the Fourth Proportional to 349.68, 521.09 and 338.07

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Solution

The fourth proportional to 349.68, 521.09 and 338.07 is: 503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.68 : 521.09 = 338.07 : x
  2. Step 2: Convert to fraction form
    349.68/521.09 = 338.07/x
  3. Step 3: Cross multiply
    349.68x = 521.09 × 338.07
  4. Step 4: Simplify right side
    349.68x = 176,165.74
  5. Step 5: Solve for x
    x = 176,165.74/349.68
  6. Step 6: Final answer
    x = 503.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.