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Finding the Fourth Proportional to 305.42, 421.52 and 212.11

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Solution

The fourth proportional to 305.42, 421.52 and 212.11 is: 292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.42 : 421.52 = 212.11 : x
  2. Step 2: Convert to fraction form
    305.42/421.52 = 212.11/x
  3. Step 3: Cross multiply
    305.42x = 421.52 × 212.11
  4. Step 4: Simplify right side
    305.42x = 89,406.49
  5. Step 5: Solve for x
    x = 89,406.49/305.42
  6. Step 6: Final answer
    x = 292.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.