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Finding the Fourth Proportional to 319.39, 479.32 and 216.78

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Solution

The fourth proportional to 319.39, 479.32 and 216.78 is: 325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.39 : 479.32 = 216.78 : x
  2. Step 2: Convert to fraction form
    319.39/479.32 = 216.78/x
  3. Step 3: Cross multiply
    319.39x = 479.32 × 216.78
  4. Step 4: Simplify right side
    319.39x = 103,904.65
  5. Step 5: Solve for x
    x = 103,904.65/319.39
  6. Step 6: Final answer
    x = 325.32

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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.