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Finding the Fourth Proportional to 312.51, 469.21 and 311.59

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Solution

The fourth proportional to 312.51, 469.21 and 311.59 is: 467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.51 : 469.21 = 311.59 : x
  2. Step 2: Convert to fraction form
    312.51/469.21 = 311.59/x
  3. Step 3: Cross multiply
    312.51x = 469.21 × 311.59
  4. Step 4: Simplify right side
    312.51x = 146,201.14
  5. Step 5: Solve for x
    x = 146,201.14/312.51
  6. Step 6: Final answer
    x = 467.83

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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.