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Finding the Fourth Proportional to 290.64, 401.09 and 159.64

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Solution

The fourth proportional to 290.64, 401.09 and 159.64 is: 220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.64 : 401.09 = 159.64 : x
  2. Step 2: Convert to fraction form
    290.64/401.09 = 159.64/x
  3. Step 3: Cross multiply
    290.64x = 401.09 × 159.64
  4. Step 4: Simplify right side
    290.64x = 64,030.46
  5. Step 5: Solve for x
    x = 64,030.46/290.64
  6. Step 6: Final answer
    x = 220.31

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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.