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Finding the Fourth Proportional to 395.33, 593.21 and 189.87

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Solution

The fourth proportional to 395.33, 593.21 and 189.87 is: 284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.33 : 593.21 = 189.87 : x
  2. Step 2: Convert to fraction form
    395.33/593.21 = 189.87/x
  3. Step 3: Cross multiply
    395.33x = 593.21 × 189.87
  4. Step 4: Simplify right side
    395.33x = 112,631.83
  5. Step 5: Solve for x
    x = 112,631.83/395.33
  6. Step 6: Final answer
    x = 284.91

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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.