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Finding the Fourth Proportional to 495.35, 742.80 and 221.30

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Solution

The fourth proportional to 495.35, 742.80 and 221.30 is: 331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.35 : 742.80 = 221.30 : x
  2. Step 2: Convert to fraction form
    495.35/742.80 = 221.30/x
  3. Step 3: Cross multiply
    495.35x = 742.80 × 221.30
  4. Step 4: Simplify right side
    495.35x = 164,381.64
  5. Step 5: Solve for x
    x = 164,381.64/495.35
  6. Step 6: Final answer
    x = 331.85

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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.