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Finding the Fourth Proportional to 428.45, 642.72 and 184.99

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Solution

The fourth proportional to 428.45, 642.72 and 184.99 is: 277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.45 : 642.72 = 184.99 : x
  2. Step 2: Convert to fraction form
    428.45/642.72 = 184.99/x
  3. Step 3: Cross multiply
    428.45x = 642.72 × 184.99
  4. Step 4: Simplify right side
    428.45x = 118,895.86
  5. Step 5: Solve for x
    x = 118,895.86/428.45
  6. Step 6: Final answer
    x = 277.50

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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.