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Finding the Fourth Proportional to 494.81, 741.74 and 202.26

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Solution

The fourth proportional to 494.81, 741.74 and 202.26 is: 303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.81 : 741.74 = 202.26 : x
  2. Step 2: Convert to fraction form
    494.81/741.74 = 202.26/x
  3. Step 3: Cross multiply
    494.81x = 741.74 × 202.26
  4. Step 4: Simplify right side
    494.81x = 150,027.24
  5. Step 5: Solve for x
    x = 150,027.24/494.81
  6. Step 6: Final answer
    x = 303.20

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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.