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Finding the Fourth Proportional to 193.16, 291.07 and 159.67

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Solution

The fourth proportional to 193.16, 291.07 and 159.67 is: 240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.16 : 291.07 = 159.67 : x
  2. Step 2: Convert to fraction form
    193.16/291.07 = 159.67/x
  3. Step 3: Cross multiply
    193.16x = 291.07 × 159.67
  4. Step 4: Simplify right side
    193.16x = 46,474.76
  5. Step 5: Solve for x
    x = 46,474.76/193.16
  6. Step 6: Final answer
    x = 240.60

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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.