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Finding the Fourth Proportional to 194.75, 291.85 and 142.99

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Solution

The fourth proportional to 194.75, 291.85 and 142.99 is: 214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.75 : 291.85 = 142.99 : x
  2. Step 2: Convert to fraction form
    194.75/291.85 = 142.99/x
  3. Step 3: Cross multiply
    194.75x = 291.85 × 142.99
  4. Step 4: Simplify right side
    194.75x = 41,732.17
  5. Step 5: Solve for x
    x = 41,732.17/194.75
  6. Step 6: Final answer
    x = 214.28

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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.