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Finding the Fourth Proportional to 288.09, 397.85 and 266.22

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Solution

The fourth proportional to 288.09, 397.85 and 266.22 is: 367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.09 : 397.85 = 266.22 : x
  2. Step 2: Convert to fraction form
    288.09/397.85 = 266.22/x
  3. Step 3: Cross multiply
    288.09x = 397.85 × 266.22
  4. Step 4: Simplify right side
    288.09x = 105,914.30
  5. Step 5: Solve for x
    x = 105,914.30/288.09
  6. Step 6: Final answer
    x = 367.64

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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.