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Finding the Fourth Proportional to 200.94, 299.99 and 172.06

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Solution

The fourth proportional to 200.94, 299.99 and 172.06 is: 256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.94 : 299.99 = 172.06 : x
  2. Step 2: Convert to fraction form
    200.94/299.99 = 172.06/x
  3. Step 3: Cross multiply
    200.94x = 299.99 × 172.06
  4. Step 4: Simplify right side
    200.94x = 51,616.28
  5. Step 5: Solve for x
    x = 51,616.28/200.94
  6. Step 6: Final answer
    x = 256.87

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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.