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Finding the Fourth Proportional to 193.13, 289.36 and 130.47

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Solution

The fourth proportional to 193.13, 289.36 and 130.47 is: 195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.13 : 289.36 = 130.47 : x
  2. Step 2: Convert to fraction form
    193.13/289.36 = 130.47/x
  3. Step 3: Cross multiply
    193.13x = 289.36 × 130.47
  4. Step 4: Simplify right side
    193.13x = 37,752.80
  5. Step 5: Solve for x
    x = 37,752.80/193.13
  6. Step 6: Final answer
    x = 195.48

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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.