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Finding the Fourth Proportional to 193.51, 290.47 and 78.03

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Solution

The fourth proportional to 193.51, 290.47 and 78.03 is: 117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.51 : 290.47 = 78.03 : x
  2. Step 2: Convert to fraction form
    193.51/290.47 = 78.03/x
  3. Step 3: Cross multiply
    193.51x = 290.47 × 78.03
  4. Step 4: Simplify right side
    193.51x = 22,665.33
  5. Step 5: Solve for x
    x = 22,665.33/193.51
  6. Step 6: Final answer
    x = 117.13

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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.