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Finding the Fourth Proportional to 305.85, 459.05 and 141.41

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Solution

The fourth proportional to 305.85, 459.05 and 141.41 is: 212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.85 : 459.05 = 141.41 : x
  2. Step 2: Convert to fraction form
    305.85/459.05 = 141.41/x
  3. Step 3: Cross multiply
    305.85x = 459.05 × 141.41
  4. Step 4: Simplify right side
    305.85x = 64,911.26
  5. Step 5: Solve for x
    x = 64,911.26/305.85
  6. Step 6: Final answer
    x = 212.23

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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.