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Finding the Fourth Proportional to 458.88, 634.24 and 335.28

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Solution

The fourth proportional to 458.88, 634.24 and 335.28 is: 463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.88 : 634.24 = 335.28 : x
  2. Step 2: Convert to fraction form
    458.88/634.24 = 335.28/x
  3. Step 3: Cross multiply
    458.88x = 634.24 × 335.28
  4. Step 4: Simplify right side
    458.88x = 212,647.99
  5. Step 5: Solve for x
    x = 212,647.99/458.88
  6. Step 6: Final answer
    x = 463.41

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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.