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Finding the Fourth Proportional to 398.81, 596.94 and 287.43

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Solution

The fourth proportional to 398.81, 596.94 and 287.43 is: 430.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.81 : 596.94 = 287.43 : x
  2. Step 2: Convert to fraction form
    398.81/596.94 = 287.43/x
  3. Step 3: Cross multiply
    398.81x = 596.94 × 287.43
  4. Step 4: Simplify right side
    398.81x = 171,578.46
  5. Step 5: Solve for x
    x = 171,578.46/398.81
  6. Step 6: Final answer
    x = 430.23

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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.