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Finding the Fourth Proportional to 307.44, 462.71 and 230.81

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Solution

The fourth proportional to 307.44, 462.71 and 230.81 is: 347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.44 : 462.71 = 230.81 : x
  2. Step 2: Convert to fraction form
    307.44/462.71 = 230.81/x
  3. Step 3: Cross multiply
    307.44x = 462.71 × 230.81
  4. Step 4: Simplify right side
    307.44x = 106,796.36
  5. Step 5: Solve for x
    x = 106,796.36/307.44
  6. Step 6: Final answer
    x = 347.37

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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.