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Finding the Fourth Proportional to 348.41, 522.32 and 186.21

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Solution

The fourth proportional to 348.41, 522.32 and 186.21 is: 279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.41 : 522.32 = 186.21 : x
  2. Step 2: Convert to fraction form
    348.41/522.32 = 186.21/x
  3. Step 3: Cross multiply
    348.41x = 522.32 × 186.21
  4. Step 4: Simplify right side
    348.41x = 97,260.28
  5. Step 5: Solve for x
    x = 97,260.28/348.41
  6. Step 6: Final answer
    x = 279.15

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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.