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Finding the Fourth Proportional to 103.83, 155.05 and 100.07

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Solution

The fourth proportional to 103.83, 155.05 and 100.07 is: 149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.83 : 155.05 = 100.07 : x
  2. Step 2: Convert to fraction form
    103.83/155.05 = 100.07/x
  3. Step 3: Cross multiply
    103.83x = 155.05 × 100.07
  4. Step 4: Simplify right side
    103.83x = 15,515.85
  5. Step 5: Solve for x
    x = 15,515.85/103.83
  6. Step 6: Final answer
    x = 149.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.