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Finding the Fourth Proportional to 340.84, 470.19 and 216.45

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Solution

The fourth proportional to 340.84, 470.19 and 216.45 is: 298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.84 : 470.19 = 216.45 : x
  2. Step 2: Convert to fraction form
    340.84/470.19 = 216.45/x
  3. Step 3: Cross multiply
    340.84x = 470.19 × 216.45
  4. Step 4: Simplify right side
    340.84x = 101,772.63
  5. Step 5: Solve for x
    x = 101,772.63/340.84
  6. Step 6: Final answer
    x = 298.59

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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.