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Finding the Fourth Proportional to 193.17, 291.06 and 159.69

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Solution

The fourth proportional to 193.17, 291.06 and 159.69 is: 240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.17 : 291.06 = 159.69 : x
  2. Step 2: Convert to fraction form
    193.17/291.06 = 159.69/x
  3. Step 3: Cross multiply
    193.17x = 291.06 × 159.69
  4. Step 4: Simplify right side
    193.17x = 46,479.37
  5. Step 5: Solve for x
    x = 46,479.37/193.17
  6. Step 6: Final answer
    x = 240.61

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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.