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Finding the Fourth Proportional to 348.16, 480.36 and 217.12

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Solution

The fourth proportional to 348.16, 480.36 and 217.12 is: 299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.16 : 480.36 = 217.12 : x
  2. Step 2: Convert to fraction form
    348.16/480.36 = 217.12/x
  3. Step 3: Cross multiply
    348.16x = 480.36 × 217.12
  4. Step 4: Simplify right side
    348.16x = 104,295.76
  5. Step 5: Solve for x
    x = 104,295.76/348.16
  6. Step 6: Final answer
    x = 299.56

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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.