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Finding the Fourth Proportional to 340.75, 470.46 and 216.49

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Solution

The fourth proportional to 340.75, 470.46 and 216.49 is: 298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.75 : 470.46 = 216.49 : x
  2. Step 2: Convert to fraction form
    340.75/470.46 = 216.49/x
  3. Step 3: Cross multiply
    340.75x = 470.46 × 216.49
  4. Step 4: Simplify right side
    340.75x = 101,849.89
  5. Step 5: Solve for x
    x = 101,849.89/340.75
  6. Step 6: Final answer
    x = 298.90

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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.