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Finding the Fourth Proportional to 309.28, 460.56 and 305.86

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Solution

The fourth proportional to 309.28, 460.56 and 305.86 is: 455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.28 : 460.56 = 305.86 : x
  2. Step 2: Convert to fraction form
    309.28/460.56 = 305.86/x
  3. Step 3: Cross multiply
    309.28x = 460.56 × 305.86
  4. Step 4: Simplify right side
    309.28x = 140,866.88
  5. Step 5: Solve for x
    x = 140,866.88/309.28
  6. Step 6: Final answer
    x = 455.47

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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.