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Finding the Fourth Proportional to 369.02, 550.84 and 328.34

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Solution

The fourth proportional to 369.02, 550.84 and 328.34 is: 490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.02 : 550.84 = 328.34 : x
  2. Step 2: Convert to fraction form
    369.02/550.84 = 328.34/x
  3. Step 3: Cross multiply
    369.02x = 550.84 × 328.34
  4. Step 4: Simplify right side
    369.02x = 180,862.81
  5. Step 5: Solve for x
    x = 180,862.81/369.02
  6. Step 6: Final answer
    x = 490.12

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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.