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Finding the Fourth Proportional to 441.12, 608.48 and 257.12

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Solution

The fourth proportional to 441.12, 608.48 and 257.12 is: 354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.12 : 608.48 = 257.12 : x
  2. Step 2: Convert to fraction form
    441.12/608.48 = 257.12/x
  3. Step 3: Cross multiply
    441.12x = 608.48 × 257.12
  4. Step 4: Simplify right side
    441.12x = 156,452.38
  5. Step 5: Solve for x
    x = 156,452.38/441.12
  6. Step 6: Final answer
    x = 354.67

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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.