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Finding the Fourth Proportional to 288.54, 399.06 and 261

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Solution

The fourth proportional to 288.54, 399.06 and 261 is: 360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.54 : 399.06 = 261 : x
  2. Step 2: Convert to fraction form
    288.54/399.06 = 261/x
  3. Step 3: Cross multiply
    288.54x = 399.06 × 261
  4. Step 4: Simplify right side
    288.54x = 104,154.66
  5. Step 5: Solve for x
    x = 104,154.66/288.54
  6. Step 6: Final answer
    x = 360.97

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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.