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Finding the Fourth Proportional to 314.37, 470.75 and 216.65

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Solution

The fourth proportional to 314.37, 470.75 and 216.65 is: 324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.37 : 470.75 = 216.65 : x
  2. Step 2: Convert to fraction form
    314.37/470.75 = 216.65/x
  3. Step 3: Cross multiply
    314.37x = 470.75 × 216.65
  4. Step 4: Simplify right side
    314.37x = 101,984.55
  5. Step 5: Solve for x
    x = 101,984.55/314.37
  6. Step 6: Final answer
    x = 324.41

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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.