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Finding the Fourth Proportional to 194.09, 291.15 and 143.33

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Solution

The fourth proportional to 194.09, 291.15 and 143.33 is: 215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.09 : 291.15 = 143.33 : x
  2. Step 2: Convert to fraction form
    194.09/291.15 = 143.33/x
  3. Step 3: Cross multiply
    194.09x = 291.15 × 143.33
  4. Step 4: Simplify right side
    194.09x = 41,730.53
  5. Step 5: Solve for x
    x = 41,730.53/194.09
  6. Step 6: Final answer
    x = 215.01

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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.