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Finding the Fourth Proportional to 347.78, 522.12 and 271.23

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Solution

The fourth proportional to 347.78, 522.12 and 271.23 is: 407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.78 : 522.12 = 271.23 : x
  2. Step 2: Convert to fraction form
    347.78/522.12 = 271.23/x
  3. Step 3: Cross multiply
    347.78x = 522.12 × 271.23
  4. Step 4: Simplify right side
    347.78x = 141,614.61
  5. Step 5: Solve for x
    x = 141,614.61/347.78
  6. Step 6: Final answer
    x = 407.20

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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.