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Finding the Fourth Proportional to 460.86, 635.87 and 274.28

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Solution

The fourth proportional to 460.86, 635.87 and 274.28 is: 378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.86 : 635.87 = 274.28 : x
  2. Step 2: Convert to fraction form
    460.86/635.87 = 274.28/x
  3. Step 3: Cross multiply
    460.86x = 635.87 × 274.28
  4. Step 4: Simplify right side
    460.86x = 174,401.87
  5. Step 5: Solve for x
    x = 174,401.87/460.86
  6. Step 6: Final answer
    x = 378.43

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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.