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Finding the Fourth Proportional to 422.48, 583.02 and 256.70

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Solution

The fourth proportional to 422.48, 583.02 and 256.70 is: 354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.48 : 583.02 = 256.70 : x
  2. Step 2: Convert to fraction form
    422.48/583.02 = 256.70/x
  3. Step 3: Cross multiply
    422.48x = 583.02 × 256.70
  4. Step 4: Simplify right side
    422.48x = 149,662.69
  5. Step 5: Solve for x
    x = 149,662.69/422.48
  6. Step 6: Final answer
    x = 354.25

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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.