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Finding the Fourth Proportional to 340.49, 507.39 and 329.47

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Solution

The fourth proportional to 340.49, 507.39 and 329.47 is: 490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.49 : 507.39 = 329.47 : x
  2. Step 2: Convert to fraction form
    340.49/507.39 = 329.47/x
  3. Step 3: Cross multiply
    340.49x = 507.39 × 329.47
  4. Step 4: Simplify right side
    340.49x = 167,169.78
  5. Step 5: Solve for x
    x = 167,169.78/340.49
  6. Step 6: Final answer
    x = 490.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.