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Finding the Fourth Proportional to 357.85, 493.80 and 200.49

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Solution

The fourth proportional to 357.85, 493.80 and 200.49 is: 276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.85 : 493.80 = 200.49 : x
  2. Step 2: Convert to fraction form
    357.85/493.80 = 200.49/x
  3. Step 3: Cross multiply
    357.85x = 493.80 × 200.49
  4. Step 4: Simplify right side
    357.85x = 99,002.14
  5. Step 5: Solve for x
    x = 99,002.14/357.85
  6. Step 6: Final answer
    x = 276.66

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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.