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Finding the Fourth Proportional to 340.20, 506.45 and 338.18

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Solution

The fourth proportional to 340.20, 506.45 and 338.18 is: 503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.20 : 506.45 = 338.18 : x
  2. Step 2: Convert to fraction form
    340.20/506.45 = 338.18/x
  3. Step 3: Cross multiply
    340.20x = 506.45 × 338.18
  4. Step 4: Simplify right side
    340.20x = 171,269.57
  5. Step 5: Solve for x
    x = 171,269.57/340.20
  6. Step 6: Final answer
    x = 503.44

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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.