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Finding the Fourth Proportional to 193.75, 290.59 and 78.16

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Solution

The fourth proportional to 193.75, 290.59 and 78.16 is: 117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.75 : 290.59 = 78.16 : x
  2. Step 2: Convert to fraction form
    193.75/290.59 = 78.16/x
  3. Step 3: Cross multiply
    193.75x = 290.59 × 78.16
  4. Step 4: Simplify right side
    193.75x = 22,712.51
  5. Step 5: Solve for x
    x = 22,712.51/193.75
  6. Step 6: Final answer
    x = 117.23

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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.