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Finding the Fourth Proportional to 367.89, 548.99 and 328.95

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Solution

The fourth proportional to 367.89, 548.99 and 328.95 is: 490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.89 : 548.99 = 328.95 : x
  2. Step 2: Convert to fraction form
    367.89/548.99 = 328.95/x
  3. Step 3: Cross multiply
    367.89x = 548.99 × 328.95
  4. Step 4: Simplify right side
    367.89x = 180,590.26
  5. Step 5: Solve for x
    x = 180,590.26/367.89
  6. Step 6: Final answer
    x = 490.88

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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.