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Finding the Fourth Proportional to 348.08, 522.26 and 194.11

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Solution

The fourth proportional to 348.08, 522.26 and 194.11 is: 291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.08 : 522.26 = 194.11 : x
  2. Step 2: Convert to fraction form
    348.08/522.26 = 194.11/x
  3. Step 3: Cross multiply
    348.08x = 522.26 × 194.11
  4. Step 4: Simplify right side
    348.08x = 101,378.37
  5. Step 5: Solve for x
    x = 101,378.37/348.08
  6. Step 6: Final answer
    x = 291.25

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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.