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Finding the Fourth Proportional to 333.35, 458.02 and 312.02

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Solution

The fourth proportional to 333.35, 458.02 and 312.02 is: 428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.35 : 458.02 = 312.02 : x
  2. Step 2: Convert to fraction form
    333.35/458.02 = 312.02/x
  3. Step 3: Cross multiply
    333.35x = 458.02 × 312.02
  4. Step 4: Simplify right side
    333.35x = 142,911.40
  5. Step 5: Solve for x
    x = 142,911.40/333.35
  6. Step 6: Final answer
    x = 428.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.