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Finding the Fourth Proportional to 350.57, 483.76 and 193.22

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Solution

The fourth proportional to 350.57, 483.76 and 193.22 is: 266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.57 : 483.76 = 193.22 : x
  2. Step 2: Convert to fraction form
    350.57/483.76 = 193.22/x
  3. Step 3: Cross multiply
    350.57x = 483.76 × 193.22
  4. Step 4: Simplify right side
    350.57x = 93,472.11
  5. Step 5: Solve for x
    x = 93,472.11/350.57
  6. Step 6: Final answer
    x = 266.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.