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Finding the Fourth Proportional to 443.06, 611.28 and 256.48

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Solution

The fourth proportional to 443.06, 611.28 and 256.48 is: 353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.06 : 611.28 = 256.48 : x
  2. Step 2: Convert to fraction form
    443.06/611.28 = 256.48/x
  3. Step 3: Cross multiply
    443.06x = 611.28 × 256.48
  4. Step 4: Simplify right side
    443.06x = 156,779.88
  5. Step 5: Solve for x
    x = 156,779.88/443.06
  6. Step 6: Final answer
    x = 353.86

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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.