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Finding the Fourth Proportional to 649.04, 973.36 and 186.69

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Solution

The fourth proportional to 649.04, 973.36 and 186.69 is: 279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.04 : 973.36 = 186.69 : x
  2. Step 2: Convert to fraction form
    649.04/973.36 = 186.69/x
  3. Step 3: Cross multiply
    649.04x = 973.36 × 186.69
  4. Step 4: Simplify right side
    649.04x = 181,716.58
  5. Step 5: Solve for x
    x = 181,716.58/649.04
  6. Step 6: Final answer
    x = 279.98

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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.