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Finding the Fourth Proportional to 329.69, 455.40 and 256.19

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Solution

The fourth proportional to 329.69, 455.40 and 256.19 is: 353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.69 : 455.40 = 256.19 : x
  2. Step 2: Convert to fraction form
    329.69/455.40 = 256.19/x
  3. Step 3: Cross multiply
    329.69x = 455.40 × 256.19
  4. Step 4: Simplify right side
    329.69x = 116,666.65
  5. Step 5: Solve for x
    x = 116,666.65/329.69
  6. Step 6: Final answer
    x = 353.87

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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.