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Finding the Fourth Proportional to 428.00, 590.64 and 250.91

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Solution

The fourth proportional to 428.00, 590.64 and 250.91 is: 346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.00 : 590.64 = 250.91 : x
  2. Step 2: Convert to fraction form
    428.00/590.64 = 250.91/x
  3. Step 3: Cross multiply
    428.00x = 590.64 × 250.91
  4. Step 4: Simplify right side
    428.00x = 148,198.02
  5. Step 5: Solve for x
    x = 148,198.02/428.00
  6. Step 6: Final answer
    x = 346.26

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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.