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Finding the Fourth Proportional to 401.78, 599.27 and 366.41

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Solution

The fourth proportional to 401.78, 599.27 and 366.41 is: 546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.78 : 599.27 = 366.41 : x
  2. Step 2: Convert to fraction form
    401.78/599.27 = 366.41/x
  3. Step 3: Cross multiply
    401.78x = 599.27 × 366.41
  4. Step 4: Simplify right side
    401.78x = 219,576.44
  5. Step 5: Solve for x
    x = 219,576.44/401.78
  6. Step 6: Final answer
    x = 546.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.