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Finding the Fourth Proportional to 333.57, 500.43 and 102.49

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Solution

The fourth proportional to 333.57, 500.43 and 102.49 is: 153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.57 : 500.43 = 102.49 : x
  2. Step 2: Convert to fraction form
    333.57/500.43 = 102.49/x
  3. Step 3: Cross multiply
    333.57x = 500.43 × 102.49
  4. Step 4: Simplify right side
    333.57x = 51,288.81
  5. Step 5: Solve for x
    x = 51,288.81/333.57
  6. Step 6: Final answer
    x = 153.76

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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.