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Finding the Fourth Proportional to 340.71, 470.25 and 230.37

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Solution

The fourth proportional to 340.71, 470.25 and 230.37 is: 317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.71 : 470.25 = 230.37 : x
  2. Step 2: Convert to fraction form
    340.71/470.25 = 230.37/x
  3. Step 3: Cross multiply
    340.71x = 470.25 × 230.37
  4. Step 4: Simplify right side
    340.71x = 108,331.49
  5. Step 5: Solve for x
    x = 108,331.49/340.71
  6. Step 6: Final answer
    x = 317.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.