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Finding the Fourth Proportional to 400.15, 596.77 and 361.27

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Solution

The fourth proportional to 400.15, 596.77 and 361.27 is: 538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.15 : 596.77 = 361.27 : x
  2. Step 2: Convert to fraction form
    400.15/596.77 = 361.27/x
  3. Step 3: Cross multiply
    400.15x = 596.77 × 361.27
  4. Step 4: Simplify right side
    400.15x = 215,595.10
  5. Step 5: Solve for x
    x = 215,595.10/400.15
  6. Step 6: Final answer
    x = 538.79

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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.