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Finding the Fourth Proportional to 902.38, 1,353.48 and 355

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Solution

The fourth proportional to 902.38, 1,353.48 and 355 is: 532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.38 : 1,353.48 = 355 : x
  2. Step 2: Convert to fraction form
    902.38/1,353.48 = 355/x
  3. Step 3: Cross multiply
    902.38x = 1,353.48 × 355
  4. Step 4: Simplify right side
    902.38x = 480,485.40
  5. Step 5: Solve for x
    x = 480,485.40/902.38
  6. Step 6: Final answer
    x = 532.46

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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.