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Finding the Fourth Proportional to 304.40, 419.40 and 216.88

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Solution

The fourth proportional to 304.40, 419.40 and 216.88 is: 298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.40 : 419.40 = 216.88 : x
  2. Step 2: Convert to fraction form
    304.40/419.40 = 216.88/x
  3. Step 3: Cross multiply
    304.40x = 419.40 × 216.88
  4. Step 4: Simplify right side
    304.40x = 90,959.47
  5. Step 5: Solve for x
    x = 90,959.47/304.40
  6. Step 6: Final answer
    x = 298.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.