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Finding the Fourth Proportional to 304.81, 419.74 and 216.31

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Solution

The fourth proportional to 304.81, 419.74 and 216.31 is: 297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.81 : 419.74 = 216.31 : x
  2. Step 2: Convert to fraction form
    304.81/419.74 = 216.31/x
  3. Step 3: Cross multiply
    304.81x = 419.74 × 216.31
  4. Step 4: Simplify right side
    304.81x = 90,794.09
  5. Step 5: Solve for x
    x = 90,794.09/304.81
  6. Step 6: Final answer
    x = 297.87

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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.