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Finding the Fourth Proportional to 340.92, 470.00 and 216.51

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Solution

The fourth proportional to 340.92, 470.00 and 216.51 is: 298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.92 : 470.00 = 216.51 : x
  2. Step 2: Convert to fraction form
    340.92/470.00 = 216.51/x
  3. Step 3: Cross multiply
    340.92x = 470.00 × 216.51
  4. Step 4: Simplify right side
    340.92x = 101,758.62
  5. Step 5: Solve for x
    x = 101,758.62/340.92
  6. Step 6: Final answer
    x = 298.48

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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.