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Finding the Fourth Proportional to 347.72, 522.68 and 193.94

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Solution

The fourth proportional to 347.72, 522.68 and 193.94 is: 291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.72 : 522.68 = 193.94 : x
  2. Step 2: Convert to fraction form
    347.72/522.68 = 193.94/x
  3. Step 3: Cross multiply
    347.72x = 522.68 × 193.94
  4. Step 4: Simplify right side
    347.72x = 101,370.42
  5. Step 5: Solve for x
    x = 101,370.42/347.72
  6. Step 6: Final answer
    x = 291.53

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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.