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Finding the Fourth Proportional to 361.99, 499.14 and 257.11

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Solution

The fourth proportional to 361.99, 499.14 and 257.11 is: 354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.99 : 499.14 = 257.11 : x
  2. Step 2: Convert to fraction form
    361.99/499.14 = 257.11/x
  3. Step 3: Cross multiply
    361.99x = 499.14 × 257.11
  4. Step 4: Simplify right side
    361.99x = 128,333.89
  5. Step 5: Solve for x
    x = 128,333.89/361.99
  6. Step 6: Final answer
    x = 354.52

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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.