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Finding the Fourth Proportional to 460.20, 634.77 and 294.12

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Solution

The fourth proportional to 460.20, 634.77 and 294.12 is: 405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.20 : 634.77 = 294.12 : x
  2. Step 2: Convert to fraction form
    460.20/634.77 = 294.12/x
  3. Step 3: Cross multiply
    460.20x = 634.77 × 294.12
  4. Step 4: Simplify right side
    460.20x = 186,698.55
  5. Step 5: Solve for x
    x = 186,698.55/460.20
  6. Step 6: Final answer
    x = 405.69

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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.