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Finding the Fourth Proportional to 390.40, 582.73 and 344.26

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Solution

The fourth proportional to 390.40, 582.73 and 344.26 is: 513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.40 : 582.73 = 344.26 : x
  2. Step 2: Convert to fraction form
    390.40/582.73 = 344.26/x
  3. Step 3: Cross multiply
    390.40x = 582.73 × 344.26
  4. Step 4: Simplify right side
    390.40x = 200,610.63
  5. Step 5: Solve for x
    x = 200,610.63/390.40
  6. Step 6: Final answer
    x = 513.87

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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.