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Finding the Fourth Proportional to 443.06, 611.34 and 256.56

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Solution

The fourth proportional to 443.06, 611.34 and 256.56 is: 354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.06 : 611.34 = 256.56 : x
  2. Step 2: Convert to fraction form
    443.06/611.34 = 256.56/x
  3. Step 3: Cross multiply
    443.06x = 611.34 × 256.56
  4. Step 4: Simplify right side
    443.06x = 156,845.39
  5. Step 5: Solve for x
    x = 156,845.39/443.06
  6. Step 6: Final answer
    x = 354.00

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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.