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Finding the Fourth Proportional to 393.48, 590.22 and 137

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Solution

The fourth proportional to 393.48, 590.22 and 137 is: 205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.48 : 590.22 = 137 : x
  2. Step 2: Convert to fraction form
    393.48/590.22 = 137/x
  3. Step 3: Cross multiply
    393.48x = 590.22 × 137
  4. Step 4: Simplify right side
    393.48x = 80,860.14
  5. Step 5: Solve for x
    x = 80,860.14/393.48
  6. Step 6: Final answer
    x = 205.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.