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Finding the Fourth Proportional to 348.34, 522.12 and 142.78

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Solution

The fourth proportional to 348.34, 522.12 and 142.78 is: 214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.34 : 522.12 = 142.78 : x
  2. Step 2: Convert to fraction form
    348.34/522.12 = 142.78/x
  3. Step 3: Cross multiply
    348.34x = 522.12 × 142.78
  4. Step 4: Simplify right side
    348.34x = 74,548.29
  5. Step 5: Solve for x
    x = 74,548.29/348.34
  6. Step 6: Final answer
    x = 214.01

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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.