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Finding the Fourth Proportional to 357.27, 493.08 and 199.89

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Solution

The fourth proportional to 357.27, 493.08 and 199.89 is: 275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.27 : 493.08 = 199.89 : x
  2. Step 2: Convert to fraction form
    357.27/493.08 = 199.89/x
  3. Step 3: Cross multiply
    357.27x = 493.08 × 199.89
  4. Step 4: Simplify right side
    357.27x = 98,561.76
  5. Step 5: Solve for x
    x = 98,561.76/357.27
  6. Step 6: Final answer
    x = 275.87

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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.