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Finding the Fourth Proportional to 422.96, 583.50 and 257.16

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Solution

The fourth proportional to 422.96, 583.50 and 257.16 is: 354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.96 : 583.50 = 257.16 : x
  2. Step 2: Convert to fraction form
    422.96/583.50 = 257.16/x
  3. Step 3: Cross multiply
    422.96x = 583.50 × 257.16
  4. Step 4: Simplify right side
    422.96x = 150,052.86
  5. Step 5: Solve for x
    x = 150,052.86/422.96
  6. Step 6: Final answer
    x = 354.77

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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.