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Finding the Fourth Proportional to 338.30, 474.10 and 338.30

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Solution

The fourth proportional to 338.30, 474.10 and 338.30 is: 474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.30 : 474.10 = 338.30 : x
  2. Step 2: Convert to fraction form
    338.30/474.10 = 338.30/x
  3. Step 3: Cross multiply
    338.30x = 474.10 × 338.30
  4. Step 4: Simplify right side
    338.30x = 160,388.03
  5. Step 5: Solve for x
    x = 160,388.03/338.30
  6. Step 6: Final answer
    x = 474.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.