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Finding the Fourth Proportional to 559.06, 838.30 and 311.90

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Solution

The fourth proportional to 559.06, 838.30 and 311.90 is: 467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.06 : 838.30 = 311.90 : x
  2. Step 2: Convert to fraction form
    559.06/838.30 = 311.90/x
  3. Step 3: Cross multiply
    559.06x = 838.30 × 311.90
  4. Step 4: Simplify right side
    559.06x = 261,460.02
  5. Step 5: Solve for x
    x = 261,460.02/559.06
  6. Step 6: Final answer
    x = 467.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.