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Finding the Fourth Proportional to 194.08, 290.40 and 142.76

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Solution

The fourth proportional to 194.08, 290.40 and 142.76 is: 213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.08 : 290.40 = 142.76 : x
  2. Step 2: Convert to fraction form
    194.08/290.40 = 142.76/x
  3. Step 3: Cross multiply
    194.08x = 290.40 × 142.76
  4. Step 4: Simplify right side
    194.08x = 41,457.50
  5. Step 5: Solve for x
    x = 41,457.50/194.08
  6. Step 6: Final answer
    x = 213.61

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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.