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Finding the Fourth Proportional to 329.99, 455.26 and 288.55

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Solution

The fourth proportional to 329.99, 455.26 and 288.55 is: 398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.99 : 455.26 = 288.55 : x
  2. Step 2: Convert to fraction form
    329.99/455.26 = 288.55/x
  3. Step 3: Cross multiply
    329.99x = 455.26 × 288.55
  4. Step 4: Simplify right side
    329.99x = 131,361.55
  5. Step 5: Solve for x
    x = 131,361.55/329.99
  6. Step 6: Final answer
    x = 398.08

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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.