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Finding the Fourth Proportional to 199.83, 299.54 and 96.98

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Solution

The fourth proportional to 199.83, 299.54 and 96.98 is: 145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.83 : 299.54 = 96.98 : x
  2. Step 2: Convert to fraction form
    199.83/299.54 = 96.98/x
  3. Step 3: Cross multiply
    199.83x = 299.54 × 96.98
  4. Step 4: Simplify right side
    199.83x = 29,048.13
  5. Step 5: Solve for x
    x = 29,048.13/199.83
  6. Step 6: Final answer
    x = 145.36

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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.