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Finding the Fourth Proportional to 199.42, 299.03 and 117.24

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Solution

The fourth proportional to 199.42, 299.03 and 117.24 is: 175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.42 : 299.03 = 117.24 : x
  2. Step 2: Convert to fraction form
    199.42/299.03 = 117.24/x
  3. Step 3: Cross multiply
    199.42x = 299.03 × 117.24
  4. Step 4: Simplify right side
    199.42x = 35,056.78
  5. Step 5: Solve for x
    x = 35,056.78/199.42
  6. Step 6: Final answer
    x = 175.80

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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.