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Finding the Fourth Proportional to 428.81, 642.40 and 342.14

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Solution

The fourth proportional to 428.81, 642.40 and 342.14 is: 512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.81 : 642.40 = 342.14 : x
  2. Step 2: Convert to fraction form
    428.81/642.40 = 342.14/x
  3. Step 3: Cross multiply
    428.81x = 642.40 × 342.14
  4. Step 4: Simplify right side
    428.81x = 219,786.67
  5. Step 5: Solve for x
    x = 219,786.67/428.81
  6. Step 6: Final answer
    x = 512.56

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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.