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Finding the Fourth Proportional to 401.61, 553.92 and 261.60

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Solution

The fourth proportional to 401.61, 553.92 and 261.60 is: 360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.61 : 553.92 = 261.60 : x
  2. Step 2: Convert to fraction form
    401.61/553.92 = 261.60/x
  3. Step 3: Cross multiply
    401.61x = 553.92 × 261.60
  4. Step 4: Simplify right side
    401.61x = 144,905.47
  5. Step 5: Solve for x
    x = 144,905.47/401.61
  6. Step 6: Final answer
    x = 360.81

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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.