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Finding the Fourth Proportional to 428.50, 591.33 and 318.50

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Solution

The fourth proportional to 428.50, 591.33 and 318.50 is: 439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.50 : 591.33 = 318.50 : x
  2. Step 2: Convert to fraction form
    428.50/591.33 = 318.50/x
  3. Step 3: Cross multiply
    428.50x = 591.33 × 318.50
  4. Step 4: Simplify right side
    428.50x = 188,338.61
  5. Step 5: Solve for x
    x = 188,338.61/428.50
  6. Step 6: Final answer
    x = 439.53

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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.