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Finding the Fourth Proportional to 395.40, 590.48 and 391.11

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Solution

The fourth proportional to 395.40, 590.48 and 391.11 is: 584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.40 : 590.48 = 391.11 : x
  2. Step 2: Convert to fraction form
    395.40/590.48 = 391.11/x
  3. Step 3: Cross multiply
    395.40x = 590.48 × 391.11
  4. Step 4: Simplify right side
    395.40x = 230,942.14
  5. Step 5: Solve for x
    x = 230,942.14/395.40
  6. Step 6: Final answer
    x = 584.07

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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.