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Finding the Fourth Proportional to 301.90, 415.38 and 293.80

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Solution

The fourth proportional to 301.90, 415.38 and 293.80 is: 404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.90 : 415.38 = 293.80 : x
  2. Step 2: Convert to fraction form
    301.90/415.38 = 293.80/x
  3. Step 3: Cross multiply
    301.90x = 415.38 × 293.80
  4. Step 4: Simplify right side
    301.90x = 122,038.64
  5. Step 5: Solve for x
    x = 122,038.64/301.90
  6. Step 6: Final answer
    x = 404.24

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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.