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Finding the Fourth Proportional to 361.99, 541.62 and 215.20

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Solution

The fourth proportional to 361.99, 541.62 and 215.20 is: 321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.99 : 541.62 = 215.20 : x
  2. Step 2: Convert to fraction form
    361.99/541.62 = 215.20/x
  3. Step 3: Cross multiply
    361.99x = 541.62 × 215.20
  4. Step 4: Simplify right side
    361.99x = 116,557.16
  5. Step 5: Solve for x
    x = 116,557.16/361.99
  6. Step 6: Final answer
    x = 321.99

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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.