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Finding the Fourth Proportional to 200.42, 299.35 and 173.08

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Solution

The fourth proportional to 200.42, 299.35 and 173.08 is: 258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.42 : 299.35 = 173.08 : x
  2. Step 2: Convert to fraction form
    200.42/299.35 = 173.08/x
  3. Step 3: Cross multiply
    200.42x = 299.35 × 173.08
  4. Step 4: Simplify right side
    200.42x = 51,811.50
  5. Step 5: Solve for x
    x = 51,811.50/200.42
  6. Step 6: Final answer
    x = 258.51

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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.