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Finding the Fourth Proportional to 311.21, 429.90 and 294.81

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Solution

The fourth proportional to 311.21, 429.90 and 294.81 is: 407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.21 : 429.90 = 294.81 : x
  2. Step 2: Convert to fraction form
    311.21/429.90 = 294.81/x
  3. Step 3: Cross multiply
    311.21x = 429.90 × 294.81
  4. Step 4: Simplify right side
    311.21x = 126,738.59
  5. Step 5: Solve for x
    x = 126,738.59/311.21
  6. Step 6: Final answer
    x = 407.25

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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.