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Finding the Fourth Proportional to 494.75, 742.01 and 186.64

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Solution

The fourth proportional to 494.75, 742.01 and 186.64 is: 279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.75 : 742.01 = 186.64 : x
  2. Step 2: Convert to fraction form
    494.75/742.01 = 186.64/x
  3. Step 3: Cross multiply
    494.75x = 742.01 × 186.64
  4. Step 4: Simplify right side
    494.75x = 138,485.50
  5. Step 5: Solve for x
    x = 138,485.50/494.75
  6. Step 6: Final answer
    x = 279.91

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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.