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Finding the Fourth Proportional to 465.31, 696.93 and 318.71

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Solution

The fourth proportional to 465.31, 696.93 and 318.71 is: 477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.31 : 696.93 = 318.71 : x
  2. Step 2: Convert to fraction form
    465.31/696.93 = 318.71/x
  3. Step 3: Cross multiply
    465.31x = 696.93 × 318.71
  4. Step 4: Simplify right side
    465.31x = 222,118.56
  5. Step 5: Solve for x
    x = 222,118.56/465.31
  6. Step 6: Final answer
    x = 477.36

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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.