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Finding the Fourth Proportional to 339.66, 506.52 and 316.44

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Solution

The fourth proportional to 339.66, 506.52 and 316.44 is: 471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.66 : 506.52 = 316.44 : x
  2. Step 2: Convert to fraction form
    339.66/506.52 = 316.44/x
  3. Step 3: Cross multiply
    339.66x = 506.52 × 316.44
  4. Step 4: Simplify right side
    339.66x = 160,283.19
  5. Step 5: Solve for x
    x = 160,283.19/339.66
  6. Step 6: Final answer
    x = 471.89

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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.