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Finding the Fourth Proportional to 367.84, 548.48 and 328.48

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Solution

The fourth proportional to 367.84, 548.48 and 328.48 is: 489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.84 : 548.48 = 328.48 : x
  2. Step 2: Convert to fraction form
    367.84/548.48 = 328.48/x
  3. Step 3: Cross multiply
    367.84x = 548.48 × 328.48
  4. Step 4: Simplify right side
    367.84x = 180,164.71
  5. Step 5: Solve for x
    x = 180,164.71/367.84
  6. Step 6: Final answer
    x = 489.79

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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.