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Finding the Fourth Proportional to 348.15, 480.16 and 295.84

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Solution

The fourth proportional to 348.15, 480.16 and 295.84 is: 408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.15 : 480.16 = 295.84 : x
  2. Step 2: Convert to fraction form
    348.15/480.16 = 295.84/x
  3. Step 3: Cross multiply
    348.15x = 480.16 × 295.84
  4. Step 4: Simplify right side
    348.15x = 142,048.80
  5. Step 5: Solve for x
    x = 142,048.80/348.15
  6. Step 6: Final answer
    x = 408.01

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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.