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Finding the Fourth Proportional to 348.11, 522.25 and 104.64

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Solution

The fourth proportional to 348.11, 522.25 and 104.64 is: 156.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.11 : 522.25 = 104.64 : x
  2. Step 2: Convert to fraction form
    348.11/522.25 = 104.64/x
  3. Step 3: Cross multiply
    348.11x = 522.25 × 104.64
  4. Step 4: Simplify right side
    348.11x = 54,648.24
  5. Step 5: Solve for x
    x = 54,648.24/348.11
  6. Step 6: Final answer
    x = 156.99

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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.