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Finding the Fourth Proportional to 199.71, 299.03 and 145.71

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Solution

The fourth proportional to 199.71, 299.03 and 145.71 is: 218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.71 : 299.03 = 145.71 : x
  2. Step 2: Convert to fraction form
    199.71/299.03 = 145.71/x
  3. Step 3: Cross multiply
    199.71x = 299.03 × 145.71
  4. Step 4: Simplify right side
    199.71x = 43,570.93
  5. Step 5: Solve for x
    x = 43,570.93/199.71
  6. Step 6: Final answer
    x = 218.17

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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.