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Finding the Fourth Proportional to 535.41, 799.85 and 348.80

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Solution

The fourth proportional to 535.41, 799.85 and 348.80 is: 521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.41 : 799.85 = 348.80 : x
  2. Step 2: Convert to fraction form
    535.41/799.85 = 348.80/x
  3. Step 3: Cross multiply
    535.41x = 799.85 × 348.80
  4. Step 4: Simplify right side
    535.41x = 278,981.94
  5. Step 5: Solve for x
    x = 278,981.94/535.41
  6. Step 6: Final answer
    x = 521.06

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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.