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Finding the Fourth Proportional to 403.33, 556.86 and 261.81

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Solution

The fourth proportional to 403.33, 556.86 and 261.81 is: 361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.33 : 556.86 = 261.81 : x
  2. Step 2: Convert to fraction form
    403.33/556.86 = 261.81/x
  3. Step 3: Cross multiply
    403.33x = 556.86 × 261.81
  4. Step 4: Simplify right side
    403.33x = 145,791.52
  5. Step 5: Solve for x
    x = 145,791.52/403.33
  6. Step 6: Final answer
    x = 361.47

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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.