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Finding the Fourth Proportional to 390.43, 585.37 and 268.39

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Solution

The fourth proportional to 390.43, 585.37 and 268.39 is: 402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.43 : 585.37 = 268.39 : x
  2. Step 2: Convert to fraction form
    390.43/585.37 = 268.39/x
  3. Step 3: Cross multiply
    390.43x = 585.37 × 268.39
  4. Step 4: Simplify right side
    390.43x = 157,103.19
  5. Step 5: Solve for x
    x = 157,103.19/390.43
  6. Step 6: Final answer
    x = 402.39

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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.