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Finding the Fourth Proportional to 329.74, 455.15 and 205.35

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Solution

The fourth proportional to 329.74, 455.15 and 205.35 is: 283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.74 : 455.15 = 205.35 : x
  2. Step 2: Convert to fraction form
    329.74/455.15 = 205.35/x
  3. Step 3: Cross multiply
    329.74x = 455.15 × 205.35
  4. Step 4: Simplify right side
    329.74x = 93,465.05
  5. Step 5: Solve for x
    x = 93,465.05/329.74
  6. Step 6: Final answer
    x = 283.45

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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.