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Finding the Fourth Proportional to 446.22, 666.19 and 385.32

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Solution

The fourth proportional to 446.22, 666.19 and 385.32 is: 575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.22 : 666.19 = 385.32 : x
  2. Step 2: Convert to fraction form
    446.22/666.19 = 385.32/x
  3. Step 3: Cross multiply
    446.22x = 666.19 × 385.32
  4. Step 4: Simplify right side
    446.22x = 256,695.37
  5. Step 5: Solve for x
    x = 256,695.37/446.22
  6. Step 6: Final answer
    x = 575.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.