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Finding the Fourth Proportional to 422.68, 583.34 and 248.08

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Solution

The fourth proportional to 422.68, 583.34 and 248.08 is: 342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.68 : 583.34 = 248.08 : x
  2. Step 2: Convert to fraction form
    422.68/583.34 = 248.08/x
  3. Step 3: Cross multiply
    422.68x = 583.34 × 248.08
  4. Step 4: Simplify right side
    422.68x = 144,714.99
  5. Step 5: Solve for x
    x = 144,714.99/422.68
  6. Step 6: Final answer
    x = 342.37

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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.