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Finding the Fourth Proportional to 340.94, 470.67 and 223.08

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Solution

The fourth proportional to 340.94, 470.67 and 223.08 is: 307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.94 : 470.67 = 223.08 : x
  2. Step 2: Convert to fraction form
    340.94/470.67 = 223.08/x
  3. Step 3: Cross multiply
    340.94x = 470.67 × 223.08
  4. Step 4: Simplify right side
    340.94x = 104,997.06
  5. Step 5: Solve for x
    x = 104,997.06/340.94
  6. Step 6: Final answer
    x = 307.97

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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.