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Finding the Fourth Proportional to 340.78, 470.13 and 216.40

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Solution

The fourth proportional to 340.78, 470.13 and 216.40 is: 298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.78 : 470.13 = 216.40 : x
  2. Step 2: Convert to fraction form
    340.78/470.13 = 216.40/x
  3. Step 3: Cross multiply
    340.78x = 470.13 × 216.40
  4. Step 4: Simplify right side
    340.78x = 101,736.13
  5. Step 5: Solve for x
    x = 101,736.13/340.78
  6. Step 6: Final answer
    x = 298.54

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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.