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Finding the Fourth Proportional to 390.36, 585.64 and 225.94

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Solution

The fourth proportional to 390.36, 585.64 and 225.94 is: 338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.36 : 585.64 = 225.94 : x
  2. Step 2: Convert to fraction form
    390.36/585.64 = 225.94/x
  3. Step 3: Cross multiply
    390.36x = 585.64 × 225.94
  4. Step 4: Simplify right side
    390.36x = 132,319.50
  5. Step 5: Solve for x
    x = 132,319.50/390.36
  6. Step 6: Final answer
    x = 338.97

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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.