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Finding the Fourth Proportional to 308.37, 459.84 and 305.63

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Solution

The fourth proportional to 308.37, 459.84 and 305.63 is: 455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.37 : 459.84 = 305.63 : x
  2. Step 2: Convert to fraction form
    308.37/459.84 = 305.63/x
  3. Step 3: Cross multiply
    308.37x = 459.84 × 305.63
  4. Step 4: Simplify right side
    308.37x = 140,540.90
  5. Step 5: Solve for x
    x = 140,540.90/308.37
  6. Step 6: Final answer
    x = 455.75

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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.