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Finding the Fourth Proportional to 367.51, 548.32 and 328.56

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Solution

The fourth proportional to 367.51, 548.32 and 328.56 is: 490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.51 : 548.32 = 328.56 : x
  2. Step 2: Convert to fraction form
    367.51/548.32 = 328.56/x
  3. Step 3: Cross multiply
    367.51x = 548.32 × 328.56
  4. Step 4: Simplify right side
    367.51x = 180,156.02
  5. Step 5: Solve for x
    x = 180,156.02/367.51
  6. Step 6: Final answer
    x = 490.21

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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.