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Finding the Fourth Proportional to 309.76, 467.09 and 305.64

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Solution

The fourth proportional to 309.76, 467.09 and 305.64 is: 460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 467.09 = 305.64 : x
  2. Step 2: Convert to fraction form
    309.76/467.09 = 305.64/x
  3. Step 3: Cross multiply
    309.76x = 467.09 × 305.64
  4. Step 4: Simplify right side
    309.76x = 142,760.98
  5. Step 5: Solve for x
    x = 142,760.98/309.76
  6. Step 6: Final answer
    x = 460.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.