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Finding the Fourth Proportional to 443.42, 611.87 and 256.85

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Solution

The fourth proportional to 443.42, 611.87 and 256.85 is: 354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.42 : 611.87 = 256.85 : x
  2. Step 2: Convert to fraction form
    443.42/611.87 = 256.85/x
  3. Step 3: Cross multiply
    443.42x = 611.87 × 256.85
  4. Step 4: Simplify right side
    443.42x = 157,157.57
  5. Step 5: Solve for x
    x = 157,157.57/443.42
  6. Step 6: Final answer
    x = 354.42

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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.