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Finding the Fourth Proportional to 340.42, 510.78 and 218.65

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Solution

The fourth proportional to 340.42, 510.78 and 218.65 is: 328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.42 : 510.78 = 218.65 : x
  2. Step 2: Convert to fraction form
    340.42/510.78 = 218.65/x
  3. Step 3: Cross multiply
    340.42x = 510.78 × 218.65
  4. Step 4: Simplify right side
    340.42x = 111,682.05
  5. Step 5: Solve for x
    x = 111,682.05/340.42
  6. Step 6: Final answer
    x = 328.07

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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.