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Finding the Fourth Proportional to 348.60, 522.89 and 92.10

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Solution

The fourth proportional to 348.60, 522.89 and 92.10 is: 138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.60 : 522.89 = 92.10 : x
  2. Step 2: Convert to fraction form
    348.60/522.89 = 92.10/x
  3. Step 3: Cross multiply
    348.60x = 522.89 × 92.10
  4. Step 4: Simplify right side
    348.60x = 48,155.55
  5. Step 5: Solve for x
    x = 48,155.55/348.60
  6. Step 6: Final answer
    x = 138.14

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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.