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Finding the Fourth Proportional to 816.23, 1,224.34 and 268.45

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Solution

The fourth proportional to 816.23, 1,224.34 and 268.45 is: 402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.23 : 1,224.34 = 268.45 : x
  2. Step 2: Convert to fraction form
    816.23/1,224.34 = 268.45/x
  3. Step 3: Cross multiply
    816.23x = 1,224.34 × 268.45
  4. Step 4: Simplify right side
    816.23x = 328,674.07
  5. Step 5: Solve for x
    x = 328,674.07/816.23
  6. Step 6: Final answer
    x = 402.67

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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.