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Finding the Fourth Proportional to 333.78, 462.63 and 314.55

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Solution

The fourth proportional to 333.78, 462.63 and 314.55 is: 435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.78 : 462.63 = 314.55 : x
  2. Step 2: Convert to fraction form
    333.78/462.63 = 314.55/x
  3. Step 3: Cross multiply
    333.78x = 462.63 × 314.55
  4. Step 4: Simplify right side
    333.78x = 145,520.64
  5. Step 5: Solve for x
    x = 145,520.64/333.78
  6. Step 6: Final answer
    x = 435.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.