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Finding the Fourth Proportional to 193.69, 291.86 and 160.20

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Solution

The fourth proportional to 193.69, 291.86 and 160.20 is: 241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.69 : 291.86 = 160.20 : x
  2. Step 2: Convert to fraction form
    193.69/291.86 = 160.20/x
  3. Step 3: Cross multiply
    193.69x = 291.86 × 160.20
  4. Step 4: Simplify right side
    193.69x = 46,756.22
  5. Step 5: Solve for x
    x = 46,756.22/193.69
  6. Step 6: Final answer
    x = 241.40

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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.