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Finding the Fourth Proportional to 339.63, 506.35 and 318.97

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Solution

The fourth proportional to 339.63, 506.35 and 318.97 is: 475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.63 : 506.35 = 318.97 : x
  2. Step 2: Convert to fraction form
    339.63/506.35 = 318.97/x
  3. Step 3: Cross multiply
    339.63x = 506.35 × 318.97
  4. Step 4: Simplify right side
    339.63x = 161,510.46
  5. Step 5: Solve for x
    x = 161,510.46/339.63
  6. Step 6: Final answer
    x = 475.55

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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.