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Finding the Fourth Proportional to 348.96, 519.12 and 345.48

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Solution

The fourth proportional to 348.96, 519.12 and 345.48 is: 513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.96 : 519.12 = 345.48 : x
  2. Step 2: Convert to fraction form
    348.96/519.12 = 345.48/x
  3. Step 3: Cross multiply
    348.96x = 519.12 × 345.48
  4. Step 4: Simplify right side
    348.96x = 179,345.58
  5. Step 5: Solve for x
    x = 179,345.58/348.96
  6. Step 6: Final answer
    x = 513.94

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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.