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Finding the Fourth Proportional to 308.62, 465.07 and 305.86

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Solution

The fourth proportional to 308.62, 465.07 and 305.86 is: 460.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.62 : 465.07 = 305.86 : x
  2. Step 2: Convert to fraction form
    308.62/465.07 = 305.86/x
  3. Step 3: Cross multiply
    308.62x = 465.07 × 305.86
  4. Step 4: Simplify right side
    308.62x = 142,246.31
  5. Step 5: Solve for x
    x = 142,246.31/308.62
  6. Step 6: Final answer
    x = 460.91

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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.