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Finding the Fourth Proportional to 442.86, 611.44 and 311.90

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Solution

The fourth proportional to 442.86, 611.44 and 311.90 is: 430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.86 : 611.44 = 311.90 : x
  2. Step 2: Convert to fraction form
    442.86/611.44 = 311.90/x
  3. Step 3: Cross multiply
    442.86x = 611.44 × 311.90
  4. Step 4: Simplify right side
    442.86x = 190,708.14
  5. Step 5: Solve for x
    x = 190,708.14/442.86
  6. Step 6: Final answer
    x = 430.63

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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.