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Finding the Fourth Proportional to 365.22, 547.26 and 256.80

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Solution

The fourth proportional to 365.22, 547.26 and 256.80 is: 384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.22 : 547.26 = 256.80 : x
  2. Step 2: Convert to fraction form
    365.22/547.26 = 256.80/x
  3. Step 3: Cross multiply
    365.22x = 547.26 × 256.80
  4. Step 4: Simplify right side
    365.22x = 140,536.37
  5. Step 5: Solve for x
    x = 140,536.37/365.22
  6. Step 6: Final answer
    x = 384.80

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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.