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Finding the Fourth Proportional to 343.31, 515.97 and 319.01

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Solution

The fourth proportional to 343.31, 515.97 and 319.01 is: 479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.31 : 515.97 = 319.01 : x
  2. Step 2: Convert to fraction form
    343.31/515.97 = 319.01/x
  3. Step 3: Cross multiply
    343.31x = 515.97 × 319.01
  4. Step 4: Simplify right side
    343.31x = 164,597.01
  5. Step 5: Solve for x
    x = 164,597.01/343.31
  6. Step 6: Final answer
    x = 479.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.