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Finding the Fourth Proportional to 286.72, 427.32 and 231.64

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Solution

The fourth proportional to 286.72, 427.32 and 231.64 is: 345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.72 : 427.32 = 231.64 : x
  2. Step 2: Convert to fraction form
    286.72/427.32 = 231.64/x
  3. Step 3: Cross multiply
    286.72x = 427.32 × 231.64
  4. Step 4: Simplify right side
    286.72x = 98,984.40
  5. Step 5: Solve for x
    x = 98,984.40/286.72
  6. Step 6: Final answer
    x = 345.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.