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Finding the Fourth Proportional to 333.60, 499.47 and 252.19

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Solution

The fourth proportional to 333.60, 499.47 and 252.19 is: 377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.60 : 499.47 = 252.19 : x
  2. Step 2: Convert to fraction form
    333.60/499.47 = 252.19/x
  3. Step 3: Cross multiply
    333.60x = 499.47 × 252.19
  4. Step 4: Simplify right side
    333.60x = 125,961.34
  5. Step 5: Solve for x
    x = 125,961.34/333.60
  6. Step 6: Final answer
    x = 377.58

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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.