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Finding the Fourth Proportional to 288.05, 397.35 and 189.77

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Solution

The fourth proportional to 288.05, 397.35 and 189.77 is: 261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.05 : 397.35 = 189.77 : x
  2. Step 2: Convert to fraction form
    288.05/397.35 = 189.77/x
  3. Step 3: Cross multiply
    288.05x = 397.35 × 189.77
  4. Step 4: Simplify right side
    288.05x = 75,403.12
  5. Step 5: Solve for x
    x = 75,403.12/288.05
  6. Step 6: Final answer
    x = 261.78

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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.