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Finding the Fourth Proportional to 333.02, 499.44 and 230.15

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Solution

The fourth proportional to 333.02, 499.44 and 230.15 is: 345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.02 : 499.44 = 230.15 : x
  2. Step 2: Convert to fraction form
    333.02/499.44 = 230.15/x
  3. Step 3: Cross multiply
    333.02x = 499.44 × 230.15
  4. Step 4: Simplify right side
    333.02x = 114,946.12
  5. Step 5: Solve for x
    x = 114,946.12/333.02
  6. Step 6: Final answer
    x = 345.16

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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.