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Finding the Fourth Proportional to 495.54, 742.70 and 221.63

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Solution

The fourth proportional to 495.54, 742.70 and 221.63 is: 332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.54 : 742.70 = 221.63 : x
  2. Step 2: Convert to fraction form
    495.54/742.70 = 221.63/x
  3. Step 3: Cross multiply
    495.54x = 742.70 × 221.63
  4. Step 4: Simplify right side
    495.54x = 164,601.44
  5. Step 5: Solve for x
    x = 164,601.44/495.54
  6. Step 6: Final answer
    x = 332.17

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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.