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Finding the Fourth Proportional to 348.68, 522.95 and 105.19

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Solution

The fourth proportional to 348.68, 522.95 and 105.19 is: 157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.68 : 522.95 = 105.19 : x
  2. Step 2: Convert to fraction form
    348.68/522.95 = 105.19/x
  3. Step 3: Cross multiply
    348.68x = 522.95 × 105.19
  4. Step 4: Simplify right side
    348.68x = 55,007.28
  5. Step 5: Solve for x
    x = 55,007.28/348.68
  6. Step 6: Final answer
    x = 157.76

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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.