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Finding the Fourth Proportional to 494.03, 741.40 and 219.98

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Solution

The fourth proportional to 494.03, 741.40 and 219.98 is: 330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.03 : 741.40 = 219.98 : x
  2. Step 2: Convert to fraction form
    494.03/741.40 = 219.98/x
  3. Step 3: Cross multiply
    494.03x = 741.40 × 219.98
  4. Step 4: Simplify right side
    494.03x = 163,088.37
  5. Step 5: Solve for x
    x = 163,088.37/494.03
  6. Step 6: Final answer
    x = 330.12

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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.