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Finding the Fourth Proportional to 130.64, 196.09 and 89.66

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Solution

The fourth proportional to 130.64, 196.09 and 89.66 is: 134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.64 : 196.09 = 89.66 : x
  2. Step 2: Convert to fraction form
    130.64/196.09 = 89.66/x
  3. Step 3: Cross multiply
    130.64x = 196.09 × 89.66
  4. Step 4: Simplify right side
    130.64x = 17,581.70
  5. Step 5: Solve for x
    x = 17,581.70/130.64
  6. Step 6: Final answer
    x = 134.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.