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Finding the Fourth Proportional to 257.46, 385.88 and 209.28

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Solution

The fourth proportional to 257.46, 385.88 and 209.28 is: 313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.46 : 385.88 = 209.28 : x
  2. Step 2: Convert to fraction form
    257.46/385.88 = 209.28/x
  3. Step 3: Cross multiply
    257.46x = 385.88 × 209.28
  4. Step 4: Simplify right side
    257.46x = 80,756.97
  5. Step 5: Solve for x
    x = 80,756.97/257.46
  6. Step 6: Final answer
    x = 313.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.