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Finding the Fourth Proportional to 428.17, 591.34 and 295.59

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Solution

The fourth proportional to 428.17, 591.34 and 295.59 is: 408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.17 : 591.34 = 295.59 : x
  2. Step 2: Convert to fraction form
    428.17/591.34 = 295.59/x
  3. Step 3: Cross multiply
    428.17x = 591.34 × 295.59
  4. Step 4: Simplify right side
    428.17x = 174,793.52
  5. Step 5: Solve for x
    x = 174,793.52/428.17
  6. Step 6: Final answer
    x = 408.23

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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.