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Finding the Fourth Proportional to 390.14, 585.20 and 225.85

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Solution

The fourth proportional to 390.14, 585.20 and 225.85 is: 338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.14 : 585.20 = 225.85 : x
  2. Step 2: Convert to fraction form
    390.14/585.20 = 225.85/x
  3. Step 3: Cross multiply
    390.14x = 585.20 × 225.85
  4. Step 4: Simplify right side
    390.14x = 132,164.83
  5. Step 5: Solve for x
    x = 132,164.83/390.14
  6. Step 6: Final answer
    x = 338.77

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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.