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Finding the Fourth Proportional to 339.75, 506.54 and 319.10

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Solution

The fourth proportional to 339.75, 506.54 and 319.10 is: 475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.75 : 506.54 = 319.10 : x
  2. Step 2: Convert to fraction form
    339.75/506.54 = 319.10/x
  3. Step 3: Cross multiply
    339.75x = 506.54 × 319.10
  4. Step 4: Simplify right side
    339.75x = 161,632.79
  5. Step 5: Solve for x
    x = 161,632.79/339.75
  6. Step 6: Final answer
    x = 475.74

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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.