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Finding the Fourth Proportional to 649.17, 973.74 and 216.31

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Solution

The fourth proportional to 649.17, 973.74 and 216.31 is: 324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.17 : 973.74 = 216.31 : x
  2. Step 2: Convert to fraction form
    649.17/973.74 = 216.31/x
  3. Step 3: Cross multiply
    649.17x = 973.74 × 216.31
  4. Step 4: Simplify right side
    649.17x = 210,629.70
  5. Step 5: Solve for x
    x = 210,629.70/649.17
  6. Step 6: Final answer
    x = 324.46

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