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Finding the Fourth Proportional to 262.34, 393.09 and 189.86

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Solution

The fourth proportional to 262.34, 393.09 and 189.86 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.34 : 393.09 = 189.86 : x
  2. Step 2: Convert to fraction form
    262.34/393.09 = 189.86/x
  3. Step 3: Cross multiply
    262.34x = 393.09 × 189.86
  4. Step 4: Simplify right side
    262.34x = 74,632.07
  5. Step 5: Solve for x
    x = 74,632.07/262.34
  6. Step 6: Final answer
    x = 284.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.