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Finding the Fourth Proportional to 350.15, 484.33 and 286.16

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Solution

The fourth proportional to 350.15, 484.33 and 286.16 is: 395.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.15 : 484.33 = 286.16 : x
  2. Step 2: Convert to fraction form
    350.15/484.33 = 286.16/x
  3. Step 3: Cross multiply
    350.15x = 484.33 × 286.16
  4. Step 4: Simplify right side
    350.15x = 138,595.87
  5. Step 5: Solve for x
    x = 138,595.87/350.15
  6. Step 6: Final answer
    x = 395.82

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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.