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Finding the Fourth Proportional to 193.00, 289.42 and 77.46

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Solution

The fourth proportional to 193.00, 289.42 and 77.46 is: 116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.00 : 289.42 = 77.46 : x
  2. Step 2: Convert to fraction form
    193.00/289.42 = 77.46/x
  3. Step 3: Cross multiply
    193.00x = 289.42 × 77.46
  4. Step 4: Simplify right side
    193.00x = 22,417.63
  5. Step 5: Solve for x
    x = 22,417.63/193.00
  6. Step 6: Final answer
    x = 116.15

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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.