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Finding the Fourth Proportional to 199.17, 297.17 and 178.65

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Solution

The fourth proportional to 199.17, 297.17 and 178.65 is: 266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.17 : 297.17 = 178.65 : x
  2. Step 2: Convert to fraction form
    199.17/297.17 = 178.65/x
  3. Step 3: Cross multiply
    199.17x = 297.17 × 178.65
  4. Step 4: Simplify right side
    199.17x = 53,089.42
  5. Step 5: Solve for x
    x = 53,089.42/199.17
  6. Step 6: Final answer
    x = 266.55

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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.