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Finding the Fourth Proportional to 339.84, 506.96 and 316.56

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Solution

The fourth proportional to 339.84, 506.96 and 316.56 is: 472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.84 : 506.96 = 316.56 : x
  2. Step 2: Convert to fraction form
    339.84/506.96 = 316.56/x
  3. Step 3: Cross multiply
    339.84x = 506.96 × 316.56
  4. Step 4: Simplify right side
    339.84x = 160,483.26
  5. Step 5: Solve for x
    x = 160,483.26/339.84
  6. Step 6: Final answer
    x = 472.23

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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.