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Finding the Fourth Proportional to 347.83, 521.01 and 225.73

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Solution

The fourth proportional to 347.83, 521.01 and 225.73 is: 338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.83 : 521.01 = 225.73 : x
  2. Step 2: Convert to fraction form
    347.83/521.01 = 225.73/x
  3. Step 3: Cross multiply
    347.83x = 521.01 × 225.73
  4. Step 4: Simplify right side
    347.83x = 117,607.59
  5. Step 5: Solve for x
    x = 117,607.59/347.83
  6. Step 6: Final answer
    x = 338.12

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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.