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Finding the Fourth Proportional to 314.39, 470.59 and 216.31

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Solution

The fourth proportional to 314.39, 470.59 and 216.31 is: 323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.39 : 470.59 = 216.31 : x
  2. Step 2: Convert to fraction form
    314.39/470.59 = 216.31/x
  3. Step 3: Cross multiply
    314.39x = 470.59 × 216.31
  4. Step 4: Simplify right side
    314.39x = 101,793.32
  5. Step 5: Solve for x
    x = 101,793.32/314.39
  6. Step 6: Final answer
    x = 323.78

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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.