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Finding the Fourth Proportional to 350.75, 484.17 and 285.14

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Solution

The fourth proportional to 350.75, 484.17 and 285.14 is: 393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.75 : 484.17 = 285.14 : x
  2. Step 2: Convert to fraction form
    350.75/484.17 = 285.14/x
  3. Step 3: Cross multiply
    350.75x = 484.17 × 285.14
  4. Step 4: Simplify right side
    350.75x = 138,056.37
  5. Step 5: Solve for x
    x = 138,056.37/350.75
  6. Step 6: Final answer
    x = 393.60

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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.