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Finding the Fourth Proportional to 891.99, 1,338.08 and 242.78

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Solution

The fourth proportional to 891.99, 1,338.08 and 242.78 is: 364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.99 : 1,338.08 = 242.78 : x
  2. Step 2: Convert to fraction form
    891.99/1,338.08 = 242.78/x
  3. Step 3: Cross multiply
    891.99x = 1,338.08 × 242.78
  4. Step 4: Simplify right side
    891.99x = 324,851.16
  5. Step 5: Solve for x
    x = 324,851.16/891.99
  6. Step 6: Final answer
    x = 364.19

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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.