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Finding the Fourth Proportional to 422.78, 583.37 and 257.01

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Solution

The fourth proportional to 422.78, 583.37 and 257.01 is: 354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.78 : 583.37 = 257.01 : x
  2. Step 2: Convert to fraction form
    422.78/583.37 = 257.01/x
  3. Step 3: Cross multiply
    422.78x = 583.37 × 257.01
  4. Step 4: Simplify right side
    422.78x = 149,929.41
  5. Step 5: Solve for x
    x = 149,929.41/422.78
  6. Step 6: Final answer
    x = 354.63

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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.