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Finding the Fourth Proportional to 340.90, 510.84 and 218.79

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Solution

The fourth proportional to 340.90, 510.84 and 218.79 is: 327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.90 : 510.84 = 218.79 : x
  2. Step 2: Convert to fraction form
    340.90/510.84 = 218.79/x
  3. Step 3: Cross multiply
    340.90x = 510.84 × 218.79
  4. Step 4: Simplify right side
    340.90x = 111,766.68
  5. Step 5: Solve for x
    x = 111,766.68/340.90
  6. Step 6: Final answer
    x = 327.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.