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Finding the Fourth Proportional to 649.09, 973.78 and 186.87

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Solution

The fourth proportional to 649.09, 973.78 and 186.87 is: 280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.09 : 973.78 = 186.87 : x
  2. Step 2: Convert to fraction form
    649.09/973.78 = 186.87/x
  3. Step 3: Cross multiply
    649.09x = 973.78 × 186.87
  4. Step 4: Simplify right side
    649.09x = 181,969.80
  5. Step 5: Solve for x
    x = 181,969.80/649.09
  6. Step 6: Final answer
    x = 280.35

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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.