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Finding the Fourth Proportional to 333.02, 499.49 and 89.57

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Solution

The fourth proportional to 333.02, 499.49 and 89.57 is: 134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.02 : 499.49 = 89.57 : x
  2. Step 2: Convert to fraction form
    333.02/499.49 = 89.57/x
  3. Step 3: Cross multiply
    333.02x = 499.49 × 89.57
  4. Step 4: Simplify right side
    333.02x = 44,736.37
  5. Step 5: Solve for x
    x = 44,736.37/333.02
  6. Step 6: Final answer
    x = 134.34

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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.