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Finding the Fourth Proportional to 199.26, 297.53 and 178.56

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Solution

The fourth proportional to 199.26, 297.53 and 178.56 is: 266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.26 : 297.53 = 178.56 : x
  2. Step 2: Convert to fraction form
    199.26/297.53 = 178.56/x
  3. Step 3: Cross multiply
    199.26x = 297.53 × 178.56
  4. Step 4: Simplify right side
    199.26x = 53,126.06
  5. Step 5: Solve for x
    x = 53,126.06/199.26
  6. Step 6: Final answer
    x = 266.62

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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.