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Finding the Fourth Proportional to 458.87, 634.04 and 361.40

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Solution

The fourth proportional to 458.87, 634.04 and 361.40 is: 499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.87 : 634.04 = 361.40 : x
  2. Step 2: Convert to fraction form
    458.87/634.04 = 361.40/x
  3. Step 3: Cross multiply
    458.87x = 634.04 × 361.40
  4. Step 4: Simplify right side
    458.87x = 229,142.06
  5. Step 5: Solve for x
    x = 229,142.06/458.87
  6. Step 6: Final answer
    x = 499.36

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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.