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Finding the Fourth Proportional to 200.49, 299.35 and 170.07

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Solution

The fourth proportional to 200.49, 299.35 and 170.07 is: 253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.49 : 299.35 = 170.07 : x
  2. Step 2: Convert to fraction form
    200.49/299.35 = 170.07/x
  3. Step 3: Cross multiply
    200.49x = 299.35 × 170.07
  4. Step 4: Simplify right side
    200.49x = 50,908.11
  5. Step 5: Solve for x
    x = 50,908.11/200.49
  6. Step 6: Final answer
    x = 253.92

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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.