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Finding the Fourth Proportional to 428.37, 590.81 and 262.53

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Solution

The fourth proportional to 428.37, 590.81 and 262.53 is: 362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.37 : 590.81 = 262.53 : x
  2. Step 2: Convert to fraction form
    428.37/590.81 = 262.53/x
  3. Step 3: Cross multiply
    428.37x = 590.81 × 262.53
  4. Step 4: Simplify right side
    428.37x = 155,104.04
  5. Step 5: Solve for x
    x = 155,104.04/428.37
  6. Step 6: Final answer
    x = 362.08

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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.