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Finding the Fourth Proportional to 348.18, 518.82 and 309.90

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Solution

The fourth proportional to 348.18, 518.82 and 309.90 is: 461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.18 : 518.82 = 309.90 : x
  2. Step 2: Convert to fraction form
    348.18/518.82 = 309.90/x
  3. Step 3: Cross multiply
    348.18x = 518.82 × 309.90
  4. Step 4: Simplify right side
    348.18x = 160,782.32
  5. Step 5: Solve for x
    x = 160,782.32/348.18
  6. Step 6: Final answer
    x = 461.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.