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Finding the Fourth Proportional to 490.10, 736.35 and 368.60

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Solution

The fourth proportional to 490.10, 736.35 and 368.60 is: 553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.10 : 736.35 = 368.60 : x
  2. Step 2: Convert to fraction form
    490.10/736.35 = 368.60/x
  3. Step 3: Cross multiply
    490.10x = 736.35 × 368.60
  4. Step 4: Simplify right side
    490.10x = 271,418.61
  5. Step 5: Solve for x
    x = 271,418.61/490.10
  6. Step 6: Final answer
    x = 553.80

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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.