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Finding the Fourth Proportional to 130.50, 196.02 and 69.75

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Solution

The fourth proportional to 130.50, 196.02 and 69.75 is: 104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.50 : 196.02 = 69.75 : x
  2. Step 2: Convert to fraction form
    130.50/196.02 = 69.75/x
  3. Step 3: Cross multiply
    130.50x = 196.02 × 69.75
  4. Step 4: Simplify right side
    130.50x = 13,672.40
  5. Step 5: Solve for x
    x = 13,672.40/130.50
  6. Step 6: Final answer
    x = 104.77

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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.