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Finding the Fourth Proportional to 193.35, 290.03 and 77.76

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Solution

The fourth proportional to 193.35, 290.03 and 77.76 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.35 : 290.03 = 77.76 : x
  2. Step 2: Convert to fraction form
    193.35/290.03 = 77.76/x
  3. Step 3: Cross multiply
    193.35x = 290.03 × 77.76
  4. Step 4: Simplify right side
    193.35x = 22,552.34
  5. Step 5: Solve for x
    x = 22,552.34/193.35
  6. Step 6: Final answer
    x = 116.64

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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.