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Finding the Fourth Proportional to 458.88, 634.14 and 334.68

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Solution

The fourth proportional to 458.88, 634.14 and 334.68 is: 462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.88 : 634.14 = 334.68 : x
  2. Step 2: Convert to fraction form
    458.88/634.14 = 334.68/x
  3. Step 3: Cross multiply
    458.88x = 634.14 × 334.68
  4. Step 4: Simplify right side
    458.88x = 212,233.98
  5. Step 5: Solve for x
    x = 212,233.98/458.88
  6. Step 6: Final answer
    x = 462.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.