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Finding the Fourth Proportional to 193.56, 290.46 and 78.02

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Solution

The fourth proportional to 193.56, 290.46 and 78.02 is: 117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.56 : 290.46 = 78.02 : x
  2. Step 2: Convert to fraction form
    193.56/290.46 = 78.02/x
  3. Step 3: Cross multiply
    193.56x = 290.46 × 78.02
  4. Step 4: Simplify right side
    193.56x = 22,660.21
  5. Step 5: Solve for x
    x = 22,660.21/193.56
  6. Step 6: Final answer
    x = 117.07

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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.