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Finding the Fourth Proportional to 428.57, 591.43 and 232.08

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Solution

The fourth proportional to 428.57, 591.43 and 232.08 is: 320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.57 : 591.43 = 232.08 : x
  2. Step 2: Convert to fraction form
    428.57/591.43 = 232.08/x
  3. Step 3: Cross multiply
    428.57x = 591.43 × 232.08
  4. Step 4: Simplify right side
    428.57x = 137,261.37
  5. Step 5: Solve for x
    x = 137,261.37/428.57
  6. Step 6: Final answer
    x = 320.28

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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.