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Finding the Fourth Proportional to 431.48, 647.64 and 226.21

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Solution

The fourth proportional to 431.48, 647.64 and 226.21 is: 339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.48 : 647.64 = 226.21 : x
  2. Step 2: Convert to fraction form
    431.48/647.64 = 226.21/x
  3. Step 3: Cross multiply
    431.48x = 647.64 × 226.21
  4. Step 4: Simplify right side
    431.48x = 146,502.64
  5. Step 5: Solve for x
    x = 146,502.64/431.48
  6. Step 6: Final answer
    x = 339.54

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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.