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Finding the Fourth Proportional to 352.09, 484.78 and 319.69

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Solution

The fourth proportional to 352.09, 484.78 and 319.69 is: 440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.09 : 484.78 = 319.69 : x
  2. Step 2: Convert to fraction form
    352.09/484.78 = 319.69/x
  3. Step 3: Cross multiply
    352.09x = 484.78 × 319.69
  4. Step 4: Simplify right side
    352.09x = 154,979.32
  5. Step 5: Solve for x
    x = 154,979.32/352.09
  6. Step 6: Final answer
    x = 440.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.