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Finding the Fourth Proportional to 308.39, 460.50 and 245.82

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Solution

The fourth proportional to 308.39, 460.50 and 245.82 is: 367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.39 : 460.50 = 245.82 : x
  2. Step 2: Convert to fraction form
    308.39/460.50 = 245.82/x
  3. Step 3: Cross multiply
    308.39x = 460.50 × 245.82
  4. Step 4: Simplify right side
    308.39x = 113,200.11
  5. Step 5: Solve for x
    x = 113,200.11/308.39
  6. Step 6: Final answer
    x = 367.07

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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.