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Finding the Fourth Proportional to 193.85, 291 and 85.71

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Solution

The fourth proportional to 193.85, 291 and 85.71 is: 128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.85 : 291 = 85.71 : x
  2. Step 2: Convert to fraction form
    193.85/291 = 85.71/x
  3. Step 3: Cross multiply
    193.85x = 291 × 85.71
  4. Step 4: Simplify right side
    193.85x = 24,941.61
  5. Step 5: Solve for x
    x = 24,941.61/193.85
  6. Step 6: Final answer
    x = 128.66

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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.