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Finding the Fourth Proportional to 339.87, 511.95 and 319.37

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Solution

The fourth proportional to 339.87, 511.95 and 319.37 is: 481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.87 : 511.95 = 319.37 : x
  2. Step 2: Convert to fraction form
    339.87/511.95 = 319.37/x
  3. Step 3: Cross multiply
    339.87x = 511.95 × 319.37
  4. Step 4: Simplify right side
    339.87x = 163,501.47
  5. Step 5: Solve for x
    x = 163,501.47/339.87
  6. Step 6: Final answer
    x = 481.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.