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Finding the Fourth Proportional to 390.31, 582.74 and 351.43

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Solution

The fourth proportional to 390.31, 582.74 and 351.43 is: 524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.31 : 582.74 = 351.43 : x
  2. Step 2: Convert to fraction form
    390.31/582.74 = 351.43/x
  3. Step 3: Cross multiply
    390.31x = 582.74 × 351.43
  4. Step 4: Simplify right side
    390.31x = 204,789.40
  5. Step 5: Solve for x
    x = 204,789.40/390.31
  6. Step 6: Final answer
    x = 524.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.