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Finding the Fourth Proportional to 193.99, 291 and 102.76

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Solution

The fourth proportional to 193.99, 291 and 102.76 is: 154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.99 : 291 = 102.76 : x
  2. Step 2: Convert to fraction form
    193.99/291 = 102.76/x
  3. Step 3: Cross multiply
    193.99x = 291 × 102.76
  4. Step 4: Simplify right side
    193.99x = 29,903.16
  5. Step 5: Solve for x
    x = 29,903.16/193.99
  6. Step 6: Final answer
    x = 154.15

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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.