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Finding the Fourth Proportional to 130.52, 195.79 and 49.36

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Solution

The fourth proportional to 130.52, 195.79 and 49.36 is: 74.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.52 : 195.79 = 49.36 : x
  2. Step 2: Convert to fraction form
    130.52/195.79 = 49.36/x
  3. Step 3: Cross multiply
    130.52x = 195.79 × 49.36
  4. Step 4: Simplify right side
    130.52x = 9,663.87
  5. Step 5: Solve for x
    x = 9,663.87/130.52
  6. Step 6: Final answer
    x = 74.04

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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.