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Finding the Fourth Proportional to 401.54, 553.85 and 302.21

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Solution

The fourth proportional to 401.54, 553.85 and 302.21 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.54 : 553.85 = 302.21 : x
  2. Step 2: Convert to fraction form
    401.54/553.85 = 302.21/x
  3. Step 3: Cross multiply
    401.54x = 553.85 × 302.21
  4. Step 4: Simplify right side
    401.54x = 167,380.02
  5. Step 5: Solve for x
    x = 167,380.02/401.54
  6. Step 6: Final answer
    x = 416.85

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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.