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Finding the Fourth Proportional to 200.07, 298.69 and 171.19

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Solution

The fourth proportional to 200.07, 298.69 and 171.19 is: 255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.07 : 298.69 = 171.19 : x
  2. Step 2: Convert to fraction form
    200.07/298.69 = 171.19/x
  3. Step 3: Cross multiply
    200.07x = 298.69 × 171.19
  4. Step 4: Simplify right side
    200.07x = 51,130.39
  5. Step 5: Solve for x
    x = 51,130.39/200.07
  6. Step 6: Final answer
    x = 255.57

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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.