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Finding the Fourth Proportional to 815.89, 1,224.01 and 268.03

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Solution

The fourth proportional to 815.89, 1,224.01 and 268.03 is: 402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.89 : 1,224.01 = 268.03 : x
  2. Step 2: Convert to fraction form
    815.89/1,224.01 = 268.03/x
  3. Step 3: Cross multiply
    815.89x = 1,224.01 × 268.03
  4. Step 4: Simplify right side
    815.89x = 328,066.38
  5. Step 5: Solve for x
    x = 328,066.38/815.89
  6. Step 6: Final answer
    x = 402.10

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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.