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Finding the Fourth Proportional to 401.31, 553.46 and 261.38

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Solution

The fourth proportional to 401.31, 553.46 and 261.38 is: 360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.31 : 553.46 = 261.38 : x
  2. Step 2: Convert to fraction form
    401.31/553.46 = 261.38/x
  3. Step 3: Cross multiply
    401.31x = 553.46 × 261.38
  4. Step 4: Simplify right side
    401.31x = 144,661.26
  5. Step 5: Solve for x
    x = 144,661.26/401.31
  6. Step 6: Final answer
    x = 360.47

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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.