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Finding the Fourth Proportional to 428.91, 591.44 and 312.27

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Solution

The fourth proportional to 428.91, 591.44 and 312.27 is: 430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.91 : 591.44 = 312.27 : x
  2. Step 2: Convert to fraction form
    428.91/591.44 = 312.27/x
  3. Step 3: Cross multiply
    428.91x = 591.44 × 312.27
  4. Step 4: Simplify right side
    428.91x = 184,687.41
  5. Step 5: Solve for x
    x = 184,687.41/428.91
  6. Step 6: Final answer
    x = 430.60

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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.