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Finding the Fourth Proportional to 288.89, 397.87 and 266.21

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Solution

The fourth proportional to 288.89, 397.87 and 266.21 is: 366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.89 : 397.87 = 266.21 : x
  2. Step 2: Convert to fraction form
    288.89/397.87 = 266.21/x
  3. Step 3: Cross multiply
    288.89x = 397.87 × 266.21
  4. Step 4: Simplify right side
    288.89x = 105,914.32
  5. Step 5: Solve for x
    x = 105,914.32/288.89
  6. Step 6: Final answer
    x = 366.63

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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.