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Finding the Fourth Proportional to 371.86, 557.01 and 361.66

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Solution

The fourth proportional to 371.86, 557.01 and 361.66 is: 541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.86 : 557.01 = 361.66 : x
  2. Step 2: Convert to fraction form
    371.86/557.01 = 361.66/x
  3. Step 3: Cross multiply
    371.86x = 557.01 × 361.66
  4. Step 4: Simplify right side
    371.86x = 201,448.24
  5. Step 5: Solve for x
    x = 201,448.24/371.86
  6. Step 6: Final answer
    x = 541.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.