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Finding the Fourth Proportional to 469.22, 646.83 and 303.42

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Solution

The fourth proportional to 469.22, 646.83 and 303.42 is: 418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.22 : 646.83 = 303.42 : x
  2. Step 2: Convert to fraction form
    469.22/646.83 = 303.42/x
  3. Step 3: Cross multiply
    469.22x = 646.83 × 303.42
  4. Step 4: Simplify right side
    469.22x = 196,261.16
  5. Step 5: Solve for x
    x = 196,261.16/469.22
  6. Step 6: Final answer
    x = 418.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.