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Finding the Fourth Proportional to 301.78, 415.50 and 257.41

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Solution

The fourth proportional to 301.78, 415.50 and 257.41 is: 354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.78 : 415.50 = 257.41 : x
  2. Step 2: Convert to fraction form
    301.78/415.50 = 257.41/x
  3. Step 3: Cross multiply
    301.78x = 415.50 × 257.41
  4. Step 4: Simplify right side
    301.78x = 106,953.86
  5. Step 5: Solve for x
    x = 106,953.86/301.78
  6. Step 6: Final answer
    x = 354.41

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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.