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Finding the Fourth Proportional to 494.00, 741.02 and 220.11

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Solution

The fourth proportional to 494.00, 741.02 and 220.11 is: 330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.00 : 741.02 = 220.11 : x
  2. Step 2: Convert to fraction form
    494.00/741.02 = 220.11/x
  3. Step 3: Cross multiply
    494.00x = 741.02 × 220.11
  4. Step 4: Simplify right side
    494.00x = 163,102.21
  5. Step 5: Solve for x
    x = 163,102.21/494.00
  6. Step 6: Final answer
    x = 330.17

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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.