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Finding the Fourth Proportional to 130.64, 196.08 and 96.56

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Solution

The fourth proportional to 130.64, 196.08 and 96.56 is: 144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.64 : 196.08 = 96.56 : x
  2. Step 2: Convert to fraction form
    130.64/196.08 = 96.56/x
  3. Step 3: Cross multiply
    130.64x = 196.08 × 96.56
  4. Step 4: Simplify right side
    130.64x = 18,933.48
  5. Step 5: Solve for x
    x = 18,933.48/130.64
  6. Step 6: Final answer
    x = 144.93

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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.