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Finding the Fourth Proportional to 460.22, 634.70 and 318.36

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Solution

The fourth proportional to 460.22, 634.70 and 318.36 is: 439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.22 : 634.70 = 318.36 : x
  2. Step 2: Convert to fraction form
    460.22/634.70 = 318.36/x
  3. Step 3: Cross multiply
    460.22x = 634.70 × 318.36
  4. Step 4: Simplify right side
    460.22x = 202,066.27
  5. Step 5: Solve for x
    x = 202,066.27/460.22
  6. Step 6: Final answer
    x = 439.07

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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.