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Finding the Fourth Proportional to 335.78, 503.38 and 278.48

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Solution

The fourth proportional to 335.78, 503.38 and 278.48 is: 417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.78 : 503.38 = 278.48 : x
  2. Step 2: Convert to fraction form
    335.78/503.38 = 278.48/x
  3. Step 3: Cross multiply
    335.78x = 503.38 × 278.48
  4. Step 4: Simplify right side
    335.78x = 140,181.26
  5. Step 5: Solve for x
    x = 140,181.26/335.78
  6. Step 6: Final answer
    x = 417.48

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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.