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Finding the Fourth Proportional to 428.33, 642.08 and 265.93

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Solution

The fourth proportional to 428.33, 642.08 and 265.93 is: 398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.33 : 642.08 = 265.93 : x
  2. Step 2: Convert to fraction form
    428.33/642.08 = 265.93/x
  3. Step 3: Cross multiply
    428.33x = 642.08 × 265.93
  4. Step 4: Simplify right side
    428.33x = 170,747.39
  5. Step 5: Solve for x
    x = 170,747.39/428.33
  6. Step 6: Final answer
    x = 398.63

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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.