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Finding the Fourth Proportional to 348.67, 519.98 and 344.02

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Solution

The fourth proportional to 348.67, 519.98 and 344.02 is: 513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.67 : 519.98 = 344.02 : x
  2. Step 2: Convert to fraction form
    348.67/519.98 = 344.02/x
  3. Step 3: Cross multiply
    348.67x = 519.98 × 344.02
  4. Step 4: Simplify right side
    348.67x = 178,883.52
  5. Step 5: Solve for x
    x = 178,883.52/348.67
  6. Step 6: Final answer
    x = 513.05

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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.