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Finding the Fourth Proportional to 361.76, 501.26 and 357.08

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Solution

The fourth proportional to 361.76, 501.26 and 357.08 is: 494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.76 : 501.26 = 357.08 : x
  2. Step 2: Convert to fraction form
    361.76/501.26 = 357.08/x
  3. Step 3: Cross multiply
    361.76x = 501.26 × 357.08
  4. Step 4: Simplify right side
    361.76x = 178,989.92
  5. Step 5: Solve for x
    x = 178,989.92/361.76
  6. Step 6: Final answer
    x = 494.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.