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Finding the Fourth Proportional to 400.17, 553.13 and 290.42

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Solution

The fourth proportional to 400.17, 553.13 and 290.42 is: 401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.17 : 553.13 = 290.42 : x
  2. Step 2: Convert to fraction form
    400.17/553.13 = 290.42/x
  3. Step 3: Cross multiply
    400.17x = 553.13 × 290.42
  4. Step 4: Simplify right side
    400.17x = 160,638.96
  5. Step 5: Solve for x
    x = 160,638.96/400.17
  6. Step 6: Final answer
    x = 401.42

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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.