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Finding the Fourth Proportional to 866.02, 1,298.82 and 249.59

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Solution

The fourth proportional to 866.02, 1,298.82 and 249.59 is: 374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.02 : 1,298.82 = 249.59 : x
  2. Step 2: Convert to fraction form
    866.02/1,298.82 = 249.59/x
  3. Step 3: Cross multiply
    866.02x = 1,298.82 × 249.59
  4. Step 4: Simplify right side
    866.02x = 324,168.34
  5. Step 5: Solve for x
    x = 324,168.34/866.02
  6. Step 6: Final answer
    x = 374.32

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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.