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Finding the Fourth Proportional to 303.37, 454.71 and 199.12

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Solution

The fourth proportional to 303.37, 454.71 and 199.12 is: 298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.37 : 454.71 = 199.12 : x
  2. Step 2: Convert to fraction form
    303.37/454.71 = 199.12/x
  3. Step 3: Cross multiply
    303.37x = 454.71 × 199.12
  4. Step 4: Simplify right side
    303.37x = 90,541.86
  5. Step 5: Solve for x
    x = 90,541.86/303.37
  6. Step 6: Final answer
    x = 298.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.