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Finding the Fourth Proportional to 390.43, 535.97 and 335.07

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Solution

The fourth proportional to 390.43, 535.97 and 335.07 is: 459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.43 : 535.97 = 335.07 : x
  2. Step 2: Convert to fraction form
    390.43/535.97 = 335.07/x
  3. Step 3: Cross multiply
    390.43x = 535.97 × 335.07
  4. Step 4: Simplify right side
    390.43x = 179,585.42
  5. Step 5: Solve for x
    x = 179,585.42/390.43
  6. Step 6: Final answer
    x = 459.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.