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Finding the Fourth Proportional to 194.33, 291.53 and 84.64

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Solution

The fourth proportional to 194.33, 291.53 and 84.64 is: 126.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.33 : 291.53 = 84.64 : x
  2. Step 2: Convert to fraction form
    194.33/291.53 = 84.64/x
  3. Step 3: Cross multiply
    194.33x = 291.53 × 84.64
  4. Step 4: Simplify right side
    194.33x = 24,675.10
  5. Step 5: Solve for x
    x = 24,675.10/194.33
  6. Step 6: Final answer
    x = 126.98

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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.