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Finding the Fourth Proportional to 401.78, 553.65 and 261.74

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Solution

The fourth proportional to 401.78, 553.65 and 261.74 is: 360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.78 : 553.65 = 261.74 : x
  2. Step 2: Convert to fraction form
    401.78/553.65 = 261.74/x
  3. Step 3: Cross multiply
    401.78x = 553.65 × 261.74
  4. Step 4: Simplify right side
    401.78x = 144,912.35
  5. Step 5: Solve for x
    x = 144,912.35/401.78
  6. Step 6: Final answer
    x = 360.68

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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.