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Finding the Fourth Proportional to 649.12, 973.36 and 216.13

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Solution

The fourth proportional to 649.12, 973.36 and 216.13 is: 324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.12 : 973.36 = 216.13 : x
  2. Step 2: Convert to fraction form
    649.12/973.36 = 216.13/x
  3. Step 3: Cross multiply
    649.12x = 973.36 × 216.13
  4. Step 4: Simplify right side
    649.12x = 210,366.35
  5. Step 5: Solve for x
    x = 210,366.35/649.12
  6. Step 6: Final answer
    x = 324.08

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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.