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Finding the Fourth Proportional to 494.81, 741.51 and 251.05

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Solution

The fourth proportional to 494.81, 741.51 and 251.05 is: 376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.81 : 741.51 = 251.05 : x
  2. Step 2: Convert to fraction form
    494.81/741.51 = 251.05/x
  3. Step 3: Cross multiply
    494.81x = 741.51 × 251.05
  4. Step 4: Simplify right side
    494.81x = 186,152.38
  5. Step 5: Solve for x
    x = 186,152.38/494.81
  6. Step 6: Final answer
    x = 376.21

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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.