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Finding the Fourth Proportional to 288.49, 397.90 and 189.06

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Solution

The fourth proportional to 288.49, 397.90 and 189.06 is: 260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.49 : 397.90 = 189.06 : x
  2. Step 2: Convert to fraction form
    288.49/397.90 = 189.06/x
  3. Step 3: Cross multiply
    288.49x = 397.90 × 189.06
  4. Step 4: Simplify right side
    288.49x = 75,226.97
  5. Step 5: Solve for x
    x = 75,226.97/288.49
  6. Step 6: Final answer
    x = 260.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.