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Finding the Fourth Proportional to 428.20, 590.65 and 262.27

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Solution

The fourth proportional to 428.20, 590.65 and 262.27 is: 361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.20 : 590.65 = 262.27 : x
  2. Step 2: Convert to fraction form
    428.20/590.65 = 262.27/x
  3. Step 3: Cross multiply
    428.20x = 590.65 × 262.27
  4. Step 4: Simplify right side
    428.20x = 154,909.78
  5. Step 5: Solve for x
    x = 154,909.78/428.20
  6. Step 6: Final answer
    x = 361.77

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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.