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Finding the Fourth Proportional to 339.36, 506.19 and 316.68

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Solution

The fourth proportional to 339.36, 506.19 and 316.68 is: 472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.36 : 506.19 = 316.68 : x
  2. Step 2: Convert to fraction form
    339.36/506.19 = 316.68/x
  3. Step 3: Cross multiply
    339.36x = 506.19 × 316.68
  4. Step 4: Simplify right side
    339.36x = 160,300.25
  5. Step 5: Solve for x
    x = 160,300.25/339.36
  6. Step 6: Final answer
    x = 472.36

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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.