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Finding the Fourth Proportional to 299.61, 412.89 and 216.57

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Solution

The fourth proportional to 299.61, 412.89 and 216.57 is: 298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.61 : 412.89 = 216.57 : x
  2. Step 2: Convert to fraction form
    299.61/412.89 = 216.57/x
  3. Step 3: Cross multiply
    299.61x = 412.89 × 216.57
  4. Step 4: Simplify right side
    299.61x = 89,419.59
  5. Step 5: Solve for x
    x = 89,419.59/299.61
  6. Step 6: Final answer
    x = 298.45

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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.