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Finding the Fourth Proportional to 304.16, 419.16 and 216.56

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Solution

The fourth proportional to 304.16, 419.16 and 216.56 is: 298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.16 : 419.16 = 216.56 : x
  2. Step 2: Convert to fraction form
    304.16/419.16 = 216.56/x
  3. Step 3: Cross multiply
    304.16x = 419.16 × 216.56
  4. Step 4: Simplify right side
    304.16x = 90,773.29
  5. Step 5: Solve for x
    x = 90,773.29/304.16
  6. Step 6: Final answer
    x = 298.44

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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.