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Finding the Fourth Proportional to 285.82, 393.83 and 193.66

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Solution

The fourth proportional to 285.82, 393.83 and 193.66 is: 266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.82 : 393.83 = 193.66 : x
  2. Step 2: Convert to fraction form
    285.82/393.83 = 193.66/x
  3. Step 3: Cross multiply
    285.82x = 393.83 × 193.66
  4. Step 4: Simplify right side
    285.82x = 76,269.12
  5. Step 5: Solve for x
    x = 76,269.12/285.82
  6. Step 6: Final answer
    x = 266.84

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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.