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Finding the Fourth Proportional to 495.78, 743.65 and 221.80

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Solution

The fourth proportional to 495.78, 743.65 and 221.80 is: 332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.78 : 743.65 = 221.80 : x
  2. Step 2: Convert to fraction form
    495.78/743.65 = 221.80/x
  3. Step 3: Cross multiply
    495.78x = 743.65 × 221.80
  4. Step 4: Simplify right side
    495.78x = 164,941.57
  5. Step 5: Solve for x
    x = 164,941.57/495.78
  6. Step 6: Final answer
    x = 332.69

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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.