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Finding the Fourth Proportional to 494.14, 740.75 and 247.19

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Solution

The fourth proportional to 494.14, 740.75 and 247.19 is: 370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.14 : 740.75 = 247.19 : x
  2. Step 2: Convert to fraction form
    494.14/740.75 = 247.19/x
  3. Step 3: Cross multiply
    494.14x = 740.75 × 247.19
  4. Step 4: Simplify right side
    494.14x = 183,103.83
  5. Step 5: Solve for x
    x = 183,103.83/494.14
  6. Step 6: Final answer
    x = 370.55

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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.