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Finding the Fourth Proportional to 428.36, 591.14 and 231.87

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Solution

The fourth proportional to 428.36, 591.14 and 231.87 is: 319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.36 : 591.14 = 231.87 : x
  2. Step 2: Convert to fraction form
    428.36/591.14 = 231.87/x
  3. Step 3: Cross multiply
    428.36x = 591.14 × 231.87
  4. Step 4: Simplify right side
    428.36x = 137,066.47
  5. Step 5: Solve for x
    x = 137,066.47/428.36
  6. Step 6: Final answer
    x = 319.98

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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.