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Finding the Fourth Proportional to 442.70, 611.07 and 311.74

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Solution

The fourth proportional to 442.70, 611.07 and 311.74 is: 430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.70 : 611.07 = 311.74 : x
  2. Step 2: Convert to fraction form
    442.70/611.07 = 311.74/x
  3. Step 3: Cross multiply
    442.70x = 611.07 × 311.74
  4. Step 4: Simplify right side
    442.70x = 190,494.96
  5. Step 5: Solve for x
    x = 190,494.96/442.70
  6. Step 6: Final answer
    x = 430.30

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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.