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Finding the Fourth Proportional to 460.14, 634.83 and 285.42

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Solution

The fourth proportional to 460.14, 634.83 and 285.42 is: 393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.14 : 634.83 = 285.42 : x
  2. Step 2: Convert to fraction form
    460.14/634.83 = 285.42/x
  3. Step 3: Cross multiply
    460.14x = 634.83 × 285.42
  4. Step 4: Simplify right side
    460.14x = 181,193.18
  5. Step 5: Solve for x
    x = 181,193.18/460.14
  6. Step 6: Final answer
    x = 393.78

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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.