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Finding the Fourth Proportional to 1,108.02, 1,661.98 and 286.30

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Solution

The fourth proportional to 1,108.02, 1,661.98 and 286.30 is: 429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.02 : 1,661.98 = 286.30 : x
  2. Step 2: Convert to fraction form
    1,108.02/1,661.98 = 286.30/x
  3. Step 3: Cross multiply
    1,108.02x = 1,661.98 × 286.30
  4. Step 4: Simplify right side
    1,108.02x = 475,824.87
  5. Step 5: Solve for x
    x = 475,824.87/1,108.02
  6. Step 6: Final answer
    x = 429.44

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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.