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Finding the Fourth Proportional to 348.11, 480.25 and 216.89

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Solution

The fourth proportional to 348.11, 480.25 and 216.89 is: 299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.11 : 480.25 = 216.89 : x
  2. Step 2: Convert to fraction form
    348.11/480.25 = 216.89/x
  3. Step 3: Cross multiply
    348.11x = 480.25 × 216.89
  4. Step 4: Simplify right side
    348.11x = 104,158.48
  5. Step 5: Solve for x
    x = 104,158.48/348.11
  6. Step 6: Final answer
    x = 299.22

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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.