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Finding the Fourth Proportional to 159.26, 220.17 and 134.64

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Solution

The fourth proportional to 159.26, 220.17 and 134.64 is: 186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.26 : 220.17 = 134.64 : x
  2. Step 2: Convert to fraction form
    159.26/220.17 = 134.64/x
  3. Step 3: Cross multiply
    159.26x = 220.17 × 134.64
  4. Step 4: Simplify right side
    159.26x = 29,643.69
  5. Step 5: Solve for x
    x = 29,643.69/159.26
  6. Step 6: Final answer
    x = 186.14

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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.