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Finding the Fourth Proportional to 395.90, 593.01 and 189.83

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Solution

The fourth proportional to 395.90, 593.01 and 189.83 is: 284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.90 : 593.01 = 189.83 : x
  2. Step 2: Convert to fraction form
    395.90/593.01 = 189.83/x
  3. Step 3: Cross multiply
    395.90x = 593.01 × 189.83
  4. Step 4: Simplify right side
    395.90x = 112,572.57
  5. Step 5: Solve for x
    x = 112,572.57/395.90
  6. Step 6: Final answer
    x = 284.35

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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.