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Finding the Fourth Proportional to 347.78, 520.77 and 337.52

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Solution

The fourth proportional to 347.78, 520.77 and 337.52 is: 505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.78 : 520.77 = 337.52 : x
  2. Step 2: Convert to fraction form
    347.78/520.77 = 337.52/x
  3. Step 3: Cross multiply
    347.78x = 520.77 × 337.52
  4. Step 4: Simplify right side
    347.78x = 175,770.29
  5. Step 5: Solve for x
    x = 175,770.29/347.78
  6. Step 6: Final answer
    x = 505.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.