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Finding the Fourth Proportional to 433.32, 648.44 and 277.26

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Solution

The fourth proportional to 433.32, 648.44 and 277.26 is: 414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.32 : 648.44 = 277.26 : x
  2. Step 2: Convert to fraction form
    433.32/648.44 = 277.26/x
  3. Step 3: Cross multiply
    433.32x = 648.44 × 277.26
  4. Step 4: Simplify right side
    433.32x = 179,785.09
  5. Step 5: Solve for x
    x = 179,785.09/433.32
  6. Step 6: Final answer
    x = 414.90

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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.