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Finding the Fourth Proportional to 308.38, 460.77 and 297.62

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Solution

The fourth proportional to 308.38, 460.77 and 297.62 is: 444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.38 : 460.77 = 297.62 : x
  2. Step 2: Convert to fraction form
    308.38/460.77 = 297.62/x
  3. Step 3: Cross multiply
    308.38x = 460.77 × 297.62
  4. Step 4: Simplify right side
    308.38x = 137,130.58
  5. Step 5: Solve for x
    x = 137,130.58/308.38
  6. Step 6: Final answer
    x = 444.68

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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.