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Finding the Fourth Proportional to 428.18, 590.61 and 262.33

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Solution

The fourth proportional to 428.18, 590.61 and 262.33 is: 361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.18 : 590.61 = 262.33 : x
  2. Step 2: Convert to fraction form
    428.18/590.61 = 262.33/x
  3. Step 3: Cross multiply
    428.18x = 590.61 × 262.33
  4. Step 4: Simplify right side
    428.18x = 154,936.20
  5. Step 5: Solve for x
    x = 154,936.20/428.18
  6. Step 6: Final answer
    x = 361.85

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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.