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Finding the Fourth Proportional to 649.14, 973.88 and 186.92

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Solution

The fourth proportional to 649.14, 973.88 and 186.92 is: 280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.14 : 973.88 = 186.92 : x
  2. Step 2: Convert to fraction form
    649.14/973.88 = 186.92/x
  3. Step 3: Cross multiply
    649.14x = 973.88 × 186.92
  4. Step 4: Simplify right side
    649.14x = 182,037.65
  5. Step 5: Solve for x
    x = 182,037.65/649.14
  6. Step 6: Final answer
    x = 280.43

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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.