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Finding the Fourth Proportional to 428.97, 642.85 and 246.00

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Solution

The fourth proportional to 428.97, 642.85 and 246.00 is: 368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.97 : 642.85 = 246.00 : x
  2. Step 2: Convert to fraction form
    428.97/642.85 = 246.00/x
  3. Step 3: Cross multiply
    428.97x = 642.85 × 246.00
  4. Step 4: Simplify right side
    428.97x = 158,142.90
  5. Step 5: Solve for x
    x = 158,142.90/428.97
  6. Step 6: Final answer
    x = 368.65

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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.