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Finding the Fourth Proportional to 393.80, 590.88 and 201.56

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Solution

The fourth proportional to 393.80, 590.88 and 201.56 is: 302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.80 : 590.88 = 201.56 : x
  2. Step 2: Convert to fraction form
    393.80/590.88 = 201.56/x
  3. Step 3: Cross multiply
    393.80x = 590.88 × 201.56
  4. Step 4: Simplify right side
    393.80x = 119,097.77
  5. Step 5: Solve for x
    x = 119,097.77/393.80
  6. Step 6: Final answer
    x = 302.43

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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.