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Finding the Fourth Proportional to 193.68, 291.84 and 160.19

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Solution

The fourth proportional to 193.68, 291.84 and 160.19 is: 241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.68 : 291.84 = 160.19 : x
  2. Step 2: Convert to fraction form
    193.68/291.84 = 160.19/x
  3. Step 3: Cross multiply
    193.68x = 291.84 × 160.19
  4. Step 4: Simplify right side
    193.68x = 46,749.48
  5. Step 5: Solve for x
    x = 46,749.48/193.68
  6. Step 6: Final answer
    x = 241.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.