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Finding the Fourth Proportional to 428.00, 590.63 and 231.50

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Solution

The fourth proportional to 428.00, 590.63 and 231.50 is: 319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.00 : 590.63 = 231.50 : x
  2. Step 2: Convert to fraction form
    428.00/590.63 = 231.50/x
  3. Step 3: Cross multiply
    428.00x = 590.63 × 231.50
  4. Step 4: Simplify right side
    428.00x = 136,732.47
  5. Step 5: Solve for x
    x = 136,732.47/428.00
  6. Step 6: Final answer
    x = 319.47

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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.