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Finding the Fourth Proportional to 390.18, 582.41 and 339.18

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Solution

The fourth proportional to 390.18, 582.41 and 339.18 is: 506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.18 : 582.41 = 339.18 : x
  2. Step 2: Convert to fraction form
    390.18/582.41 = 339.18/x
  3. Step 3: Cross multiply
    390.18x = 582.41 × 339.18
  4. Step 4: Simplify right side
    390.18x = 197,540.13
  5. Step 5: Solve for x
    x = 197,540.13/390.18
  6. Step 6: Final answer
    x = 506.28

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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.