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Finding the Fourth Proportional to 369.38, 553.86 and 328.88

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Solution

The fourth proportional to 369.38, 553.86 and 328.88 is: 493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.38 : 553.86 = 328.88 : x
  2. Step 2: Convert to fraction form
    369.38/553.86 = 328.88/x
  3. Step 3: Cross multiply
    369.38x = 553.86 × 328.88
  4. Step 4: Simplify right side
    369.38x = 182,153.48
  5. Step 5: Solve for x
    x = 182,153.48/369.38
  6. Step 6: Final answer
    x = 493.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.