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Finding the Fourth Proportional to 421.64, 631.08 and 226.36

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Solution

The fourth proportional to 421.64, 631.08 and 226.36 is: 338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.64 : 631.08 = 226.36 : x
  2. Step 2: Convert to fraction form
    421.64/631.08 = 226.36/x
  3. Step 3: Cross multiply
    421.64x = 631.08 × 226.36
  4. Step 4: Simplify right side
    421.64x = 142,851.27
  5. Step 5: Solve for x
    x = 142,851.27/421.64
  6. Step 6: Final answer
    x = 338.80

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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.