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Finding the Fourth Proportional to 349.50, 521.92 and 338.37

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Solution

The fourth proportional to 349.50, 521.92 and 338.37 is: 505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.50 : 521.92 = 338.37 : x
  2. Step 2: Convert to fraction form
    349.50/521.92 = 338.37/x
  3. Step 3: Cross multiply
    349.50x = 521.92 × 338.37
  4. Step 4: Simplify right side
    349.50x = 176,602.07
  5. Step 5: Solve for x
    x = 176,602.07/349.50
  6. Step 6: Final answer
    x = 505.30

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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.