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Finding the Fourth Proportional to 307.38, 464.43 and 304.41

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Solution

The fourth proportional to 307.38, 464.43 and 304.41 is: 459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.38 : 464.43 = 304.41 : x
  2. Step 2: Convert to fraction form
    307.38/464.43 = 304.41/x
  3. Step 3: Cross multiply
    307.38x = 464.43 × 304.41
  4. Step 4: Simplify right side
    307.38x = 141,377.14
  5. Step 5: Solve for x
    x = 141,377.14/307.38
  6. Step 6: Final answer
    x = 459.94

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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.