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Finding the Fourth Proportional to 487.78, 673.26 and 301.44

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Solution

The fourth proportional to 487.78, 673.26 and 301.44 is: 416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.78 : 673.26 = 301.44 : x
  2. Step 2: Convert to fraction form
    487.78/673.26 = 301.44/x
  3. Step 3: Cross multiply
    487.78x = 673.26 × 301.44
  4. Step 4: Simplify right side
    487.78x = 202,947.49
  5. Step 5: Solve for x
    x = 202,947.49/487.78
  6. Step 6: Final answer
    x = 416.06

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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.