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Finding the Fourth Proportional to 290.64, 401.39 and 203.16

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Solution

The fourth proportional to 290.64, 401.39 and 203.16 is: 280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.64 : 401.39 = 203.16 : x
  2. Step 2: Convert to fraction form
    290.64/401.39 = 203.16/x
  3. Step 3: Cross multiply
    290.64x = 401.39 × 203.16
  4. Step 4: Simplify right side
    290.64x = 81,546.39
  5. Step 5: Solve for x
    x = 81,546.39/290.64
  6. Step 6: Final answer
    x = 280.58

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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.