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Finding the Fourth Proportional to 199.55, 299.25 and 69.52

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Solution

The fourth proportional to 199.55, 299.25 and 69.52 is: 104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.55 : 299.25 = 69.52 : x
  2. Step 2: Convert to fraction form
    199.55/299.25 = 69.52/x
  3. Step 3: Cross multiply
    199.55x = 299.25 × 69.52
  4. Step 4: Simplify right side
    199.55x = 20,802.02
  5. Step 5: Solve for x
    x = 20,802.02/199.55
  6. Step 6: Final answer
    x = 104.25

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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.