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Finding the Fourth Proportional to 390.92, 539.51 and 225.16

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Solution

The fourth proportional to 390.92, 539.51 and 225.16 is: 310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.92 : 539.51 = 225.16 : x
  2. Step 2: Convert to fraction form
    390.92/539.51 = 225.16/x
  3. Step 3: Cross multiply
    390.92x = 539.51 × 225.16
  4. Step 4: Simplify right side
    390.92x = 121,473.60
  5. Step 5: Solve for x
    x = 121,473.60/390.92
  6. Step 6: Final answer
    x = 310.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.