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Finding the Fourth Proportional to 257.46, 355.32 and 220.74

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Solution

The fourth proportional to 257.46, 355.32 and 220.74 is: 304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.46 : 355.32 = 220.74 : x
  2. Step 2: Convert to fraction form
    257.46/355.32 = 220.74/x
  3. Step 3: Cross multiply
    257.46x = 355.32 × 220.74
  4. Step 4: Simplify right side
    257.46x = 78,433.34
  5. Step 5: Solve for x
    x = 78,433.34/257.46
  6. Step 6: Final answer
    x = 304.64

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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.