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Finding the Fourth Proportional to 193.70, 290.48 and 78.14

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Solution

The fourth proportional to 193.70, 290.48 and 78.14 is: 117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.70 : 290.48 = 78.14 : x
  2. Step 2: Convert to fraction form
    193.70/290.48 = 78.14/x
  3. Step 3: Cross multiply
    193.70x = 290.48 × 78.14
  4. Step 4: Simplify right side
    193.70x = 22,698.11
  5. Step 5: Solve for x
    x = 22,698.11/193.70
  6. Step 6: Final answer
    x = 117.18

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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.