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Finding the Fourth Proportional to 290.01, 400.02 and 216.24

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Solution

The fourth proportional to 290.01, 400.02 and 216.24 is: 298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.01 : 400.02 = 216.24 : x
  2. Step 2: Convert to fraction form
    290.01/400.02 = 216.24/x
  3. Step 3: Cross multiply
    290.01x = 400.02 × 216.24
  4. Step 4: Simplify right side
    290.01x = 86,500.32
  5. Step 5: Solve for x
    x = 86,500.32/290.01
  6. Step 6: Final answer
    x = 298.27

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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.