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Finding the Fourth Proportional to 401.59, 554.21 and 261.80

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Solution

The fourth proportional to 401.59, 554.21 and 261.80 is: 361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.59 : 554.21 = 261.80 : x
  2. Step 2: Convert to fraction form
    401.59/554.21 = 261.80/x
  3. Step 3: Cross multiply
    401.59x = 554.21 × 261.80
  4. Step 4: Simplify right side
    401.59x = 145,091.16
  5. Step 5: Solve for x
    x = 145,091.16/401.59
  6. Step 6: Final answer
    x = 361.29

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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.