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Finding the Fourth Proportional to 422.86, 583.45 and 257.06

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Solution

The fourth proportional to 422.86, 583.45 and 257.06 is: 354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.86 : 583.45 = 257.06 : x
  2. Step 2: Convert to fraction form
    422.86/583.45 = 257.06/x
  3. Step 3: Cross multiply
    422.86x = 583.45 × 257.06
  4. Step 4: Simplify right side
    422.86x = 149,981.66
  5. Step 5: Solve for x
    x = 149,981.66/422.86
  6. Step 6: Final answer
    x = 354.68

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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.