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Finding the Fourth Proportional to 460.38, 689.94 and 244.10

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Solution

The fourth proportional to 460.38, 689.94 and 244.10 is: 365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.38 : 689.94 = 244.10 : x
  2. Step 2: Convert to fraction form
    460.38/689.94 = 244.10/x
  3. Step 3: Cross multiply
    460.38x = 689.94 × 244.10
  4. Step 4: Simplify right side
    460.38x = 168,414.35
  5. Step 5: Solve for x
    x = 168,414.35/460.38
  6. Step 6: Final answer
    x = 365.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.