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Finding the Fourth Proportional to 262.85, 392.38 and 243.86

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Solution

The fourth proportional to 262.85, 392.38 and 243.86 is: 364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.85 : 392.38 = 243.86 : x
  2. Step 2: Convert to fraction form
    262.85/392.38 = 243.86/x
  3. Step 3: Cross multiply
    262.85x = 392.38 × 243.86
  4. Step 4: Simplify right side
    262.85x = 95,685.79
  5. Step 5: Solve for x
    x = 95,685.79/262.85
  6. Step 6: Final answer
    x = 364.03

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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.