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Finding the Fourth Proportional to 400.20, 603.33 and 378.60

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Solution

The fourth proportional to 400.20, 603.33 and 378.60 is: 570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.20 : 603.33 = 378.60 : x
  2. Step 2: Convert to fraction form
    400.20/603.33 = 378.60/x
  3. Step 3: Cross multiply
    400.20x = 603.33 × 378.60
  4. Step 4: Simplify right side
    400.20x = 228,420.74
  5. Step 5: Solve for x
    x = 228,420.74/400.20
  6. Step 6: Final answer
    x = 570.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.