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Finding the Fourth Proportional to 460.17, 634.87 and 260.97

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Solution

The fourth proportional to 460.17, 634.87 and 260.97 is: 360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.17 : 634.87 = 260.97 : x
  2. Step 2: Convert to fraction form
    460.17/634.87 = 260.97/x
  3. Step 3: Cross multiply
    460.17x = 634.87 × 260.97
  4. Step 4: Simplify right side
    460.17x = 165,683.47
  5. Step 5: Solve for x
    x = 165,683.47/460.17
  6. Step 6: Final answer
    x = 360.05

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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.