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Finding the Fourth Proportional to 347.92, 522.71 and 203.74

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Solution

The fourth proportional to 347.92, 522.71 and 203.74 is: 306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.92 : 522.71 = 203.74 : x
  2. Step 2: Convert to fraction form
    347.92/522.71 = 203.74/x
  3. Step 3: Cross multiply
    347.92x = 522.71 × 203.74
  4. Step 4: Simplify right side
    347.92x = 106,496.94
  5. Step 5: Solve for x
    x = 106,496.94/347.92
  6. Step 6: Final answer
    x = 306.10

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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.