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Finding the Fourth Proportional to 262.81, 392.66 and 199.86

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Solution

The fourth proportional to 262.81, 392.66 and 199.86 is: 298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.81 : 392.66 = 199.86 : x
  2. Step 2: Convert to fraction form
    262.81/392.66 = 199.86/x
  3. Step 3: Cross multiply
    262.81x = 392.66 × 199.86
  4. Step 4: Simplify right side
    262.81x = 78,477.03
  5. Step 5: Solve for x
    x = 78,477.03/262.81
  6. Step 6: Final answer
    x = 298.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.