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Finding the Fourth Proportional to 401.56, 554.46 and 261.78

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Solution

The fourth proportional to 401.56, 554.46 and 261.78 is: 361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.56 : 554.46 = 261.78 : x
  2. Step 2: Convert to fraction form
    401.56/554.46 = 261.78/x
  3. Step 3: Cross multiply
    401.56x = 554.46 × 261.78
  4. Step 4: Simplify right side
    401.56x = 145,146.54
  5. Step 5: Solve for x
    x = 145,146.54/401.56
  6. Step 6: Final answer
    x = 361.46

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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.