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Finding the Fourth Proportional to 311.04, 461.70 and 290.79

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Solution

The fourth proportional to 311.04, 461.70 and 290.79 is: 431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.04 : 461.70 = 290.79 : x
  2. Step 2: Convert to fraction form
    311.04/461.70 = 290.79/x
  3. Step 3: Cross multiply
    311.04x = 461.70 × 290.79
  4. Step 4: Simplify right side
    311.04x = 134,257.74
  5. Step 5: Solve for x
    x = 134,257.74/311.04
  6. Step 6: Final answer
    x = 431.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.