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Finding the Fourth Proportional to 194.51, 291.83 and 72.78

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Solution

The fourth proportional to 194.51, 291.83 and 72.78 is: 109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.51 : 291.83 = 72.78 : x
  2. Step 2: Convert to fraction form
    194.51/291.83 = 72.78/x
  3. Step 3: Cross multiply
    194.51x = 291.83 × 72.78
  4. Step 4: Simplify right side
    194.51x = 21,239.02
  5. Step 5: Solve for x
    x = 21,239.02/194.51
  6. Step 6: Final answer
    x = 109.20

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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.