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Finding the Fourth Proportional to 348.36, 519.79 and 309.18

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Solution

The fourth proportional to 348.36, 519.79 and 309.18 is: 461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.36 : 519.79 = 309.18 : x
  2. Step 2: Convert to fraction form
    348.36/519.79 = 309.18/x
  3. Step 3: Cross multiply
    348.36x = 519.79 × 309.18
  4. Step 4: Simplify right side
    348.36x = 160,708.67
  5. Step 5: Solve for x
    x = 160,708.67/348.36
  6. Step 6: Final answer
    x = 461.33

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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.