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Finding the Fourth Proportional to 313.95, 471.17 and 216.25

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Solution

The fourth proportional to 313.95, 471.17 and 216.25 is: 324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.95 : 471.17 = 216.25 : x
  2. Step 2: Convert to fraction form
    313.95/471.17 = 216.25/x
  3. Step 3: Cross multiply
    313.95x = 471.17 × 216.25
  4. Step 4: Simplify right side
    313.95x = 101,888.25
  5. Step 5: Solve for x
    x = 101,888.25/313.95
  6. Step 6: Final answer
    x = 324.54

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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.