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Finding the Fourth Proportional to 266.09, 365.72 and 256.37

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Solution

The fourth proportional to 266.09, 365.72 and 256.37 is: 352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.09 : 365.72 = 256.37 : x
  2. Step 2: Convert to fraction form
    266.09/365.72 = 256.37/x
  3. Step 3: Cross multiply
    266.09x = 365.72 × 256.37
  4. Step 4: Simplify right side
    266.09x = 93,756.53
  5. Step 5: Solve for x
    x = 93,756.53/266.09
  6. Step 6: Final answer
    x = 352.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.