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Finding the Fourth Proportional to 494.32, 741.07 and 186.00

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Solution

The fourth proportional to 494.32, 741.07 and 186.00 is: 278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.32 : 741.07 = 186.00 : x
  2. Step 2: Convert to fraction form
    494.32/741.07 = 186.00/x
  3. Step 3: Cross multiply
    494.32x = 741.07 × 186.00
  4. Step 4: Simplify right side
    494.32x = 137,842.03
  5. Step 5: Solve for x
    x = 137,842.03/494.32
  6. Step 6: Final answer
    x = 278.85

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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.