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Finding the Fourth Proportional to 329.65, 455.43 and 251.23

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Solution

The fourth proportional to 329.65, 455.43 and 251.23 is: 347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.65 : 455.43 = 251.23 : x
  2. Step 2: Convert to fraction form
    329.65/455.43 = 251.23/x
  3. Step 3: Cross multiply
    329.65x = 455.43 × 251.23
  4. Step 4: Simplify right side
    329.65x = 114,417.68
  5. Step 5: Solve for x
    x = 114,417.68/329.65
  6. Step 6: Final answer
    x = 347.09

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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.