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Finding the Fourth Proportional to 308.62, 460.32 and 262.45

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Solution

The fourth proportional to 308.62, 460.32 and 262.45 is: 391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.62 : 460.32 = 262.45 : x
  2. Step 2: Convert to fraction form
    308.62/460.32 = 262.45/x
  3. Step 3: Cross multiply
    308.62x = 460.32 × 262.45
  4. Step 4: Simplify right side
    308.62x = 120,811.49
  5. Step 5: Solve for x
    x = 120,811.49/308.62
  6. Step 6: Final answer
    x = 391.46

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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.