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Finding the Fourth Proportional to 262.58, 393.85 and 189.80

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Solution

The fourth proportional to 262.58, 393.85 and 189.80 is: 284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.58 : 393.85 = 189.80 : x
  2. Step 2: Convert to fraction form
    262.58/393.85 = 189.80/x
  3. Step 3: Cross multiply
    262.58x = 393.85 × 189.80
  4. Step 4: Simplify right side
    262.58x = 74,753.24
  5. Step 5: Solve for x
    x = 74,753.24/262.58
  6. Step 6: Final answer
    x = 284.68

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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.