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Finding the Fourth Proportional to 341.91, 515.42 and 319.31

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Solution

The fourth proportional to 341.91, 515.42 and 319.31 is: 481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.91 : 515.42 = 319.31 : x
  2. Step 2: Convert to fraction form
    341.91/515.42 = 319.31/x
  3. Step 3: Cross multiply
    341.91x = 515.42 × 319.31
  4. Step 4: Simplify right side
    341.91x = 164,574.59
  5. Step 5: Solve for x
    x = 164,574.59/341.91
  6. Step 6: Final answer
    x = 481.34

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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.