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Finding the Fourth Proportional to 419.88, 576.36 and 382.84

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Solution

The fourth proportional to 419.88, 576.36 and 382.84 is: 525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.88 : 576.36 = 382.84 : x
  2. Step 2: Convert to fraction form
    419.88/576.36 = 382.84/x
  3. Step 3: Cross multiply
    419.88x = 576.36 × 382.84
  4. Step 4: Simplify right side
    419.88x = 220,653.66
  5. Step 5: Solve for x
    x = 220,653.66/419.88
  6. Step 6: Final answer
    x = 525.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.