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Finding the Fourth Proportional to 199.51, 297.17 and 186.86

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Solution

The fourth proportional to 199.51, 297.17 and 186.86 is: 278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.51 : 297.17 = 186.86 : x
  2. Step 2: Convert to fraction form
    199.51/297.17 = 186.86/x
  3. Step 3: Cross multiply
    199.51x = 297.17 × 186.86
  4. Step 4: Simplify right side
    199.51x = 55,528.02
  5. Step 5: Solve for x
    x = 55,528.02/199.51
  6. Step 6: Final answer
    x = 278.32

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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.