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Finding the Fourth Proportional to 428.45, 642.50 and 233.24

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Solution

The fourth proportional to 428.45, 642.50 and 233.24 is: 349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.45 : 642.50 = 233.24 : x
  2. Step 2: Convert to fraction form
    428.45/642.50 = 233.24/x
  3. Step 3: Cross multiply
    428.45x = 642.50 × 233.24
  4. Step 4: Simplify right side
    428.45x = 149,852.32
  5. Step 5: Solve for x
    x = 149,852.32/428.45
  6. Step 6: Final answer
    x = 349.76

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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.