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Finding the Fourth Proportional to 348.91, 523.06 and 143.35

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Solution

The fourth proportional to 348.91, 523.06 and 143.35 is: 214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.91 : 523.06 = 143.35 : x
  2. Step 2: Convert to fraction form
    348.91/523.06 = 143.35/x
  3. Step 3: Cross multiply
    348.91x = 523.06 × 143.35
  4. Step 4: Simplify right side
    348.91x = 74,978.87
  5. Step 5: Solve for x
    x = 74,978.87/348.91
  6. Step 6: Final answer
    x = 214.90

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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.