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Finding the Fourth Proportional to 348.16, 519.36 and 329.92

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Solution

The fourth proportional to 348.16, 519.36 and 329.92 is: 492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.16 : 519.36 = 329.92 : x
  2. Step 2: Convert to fraction form
    348.16/519.36 = 329.92/x
  3. Step 3: Cross multiply
    348.16x = 519.36 × 329.92
  4. Step 4: Simplify right side
    348.16x = 171,347.25
  5. Step 5: Solve for x
    x = 171,347.25/348.16
  6. Step 6: Final answer
    x = 492.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.