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Finding the Fourth Proportional to 330.23, 494.17 and 243.35

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Solution

The fourth proportional to 330.23, 494.17 and 243.35 is: 364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.23 : 494.17 = 243.35 : x
  2. Step 2: Convert to fraction form
    330.23/494.17 = 243.35/x
  3. Step 3: Cross multiply
    330.23x = 494.17 × 243.35
  4. Step 4: Simplify right side
    330.23x = 120,256.90
  5. Step 5: Solve for x
    x = 120,256.90/330.23
  6. Step 6: Final answer
    x = 364.17

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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.