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Finding the Fourth Proportional to 428.91, 591.96 and 261

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Solution

The fourth proportional to 428.91, 591.96 and 261 is: 360.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.91 : 591.96 = 261 : x
  2. Step 2: Convert to fraction form
    428.91/591.96 = 261/x
  3. Step 3: Cross multiply
    428.91x = 591.96 × 261
  4. Step 4: Simplify right side
    428.91x = 154,501.56
  5. Step 5: Solve for x
    x = 154,501.56/428.91
  6. Step 6: Final answer
    x = 360.22

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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.