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Finding the Fourth Proportional to 340.04, 512.49 and 321.20

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Solution

The fourth proportional to 340.04, 512.49 and 321.20 is: 484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.04 : 512.49 = 321.20 : x
  2. Step 2: Convert to fraction form
    340.04/512.49 = 321.20/x
  3. Step 3: Cross multiply
    340.04x = 512.49 × 321.20
  4. Step 4: Simplify right side
    340.04x = 164,609.23
  5. Step 5: Solve for x
    x = 164,609.23/340.04
  6. Step 6: Final answer
    x = 484.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.