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Finding the Fourth Proportional to 339.99, 506.13 and 338.16

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Solution

The fourth proportional to 339.99, 506.13 and 338.16 is: 503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.99 : 506.13 = 338.16 : x
  2. Step 2: Convert to fraction form
    339.99/506.13 = 338.16/x
  3. Step 3: Cross multiply
    339.99x = 506.13 × 338.16
  4. Step 4: Simplify right side
    339.99x = 171,152.92
  5. Step 5: Solve for x
    x = 171,152.92/339.99
  6. Step 6: Final answer
    x = 503.41

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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.