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Finding the Fourth Proportional to 348.19, 522.47 and 142.90

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Solution

The fourth proportional to 348.19, 522.47 and 142.90 is: 214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.19 : 522.47 = 142.90 : x
  2. Step 2: Convert to fraction form
    348.19/522.47 = 142.90/x
  3. Step 3: Cross multiply
    348.19x = 522.47 × 142.90
  4. Step 4: Simplify right side
    348.19x = 74,659.66
  5. Step 5: Solve for x
    x = 74,659.66/348.19
  6. Step 6: Final answer
    x = 214.43

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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.