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Finding the Fourth Proportional to 379, 564.16 and 361.30

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Solution

The fourth proportional to 379, 564.16 and 361.30 is: 537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    379 : 564.16 = 361.30 : x
  2. Step 2: Convert to fraction form
    379/564.16 = 361.30/x
  3. Step 3: Cross multiply
    379x = 564.16 × 361.30
  4. Step 4: Simplify right side
    379x = 203,831.01
  5. Step 5: Solve for x
    x = 203,831.01/379
  6. Step 6: Final answer
    x = 537.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.