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Finding the Fourth Proportional to 428.36, 642.78 and 257

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Solution

The fourth proportional to 428.36, 642.78 and 257 is: 385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.36 : 642.78 = 257 : x
  2. Step 2: Convert to fraction form
    428.36/642.78 = 257/x
  3. Step 3: Cross multiply
    428.36x = 642.78 × 257
  4. Step 4: Simplify right side
    428.36x = 165,194.46
  5. Step 5: Solve for x
    x = 165,194.46/428.36
  6. Step 6: Final answer
    x = 385.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.