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Finding the Fourth Proportional to 312.24, 468.84 and 311.34

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Solution

The fourth proportional to 312.24, 468.84 and 311.34 is: 467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.24 : 468.84 = 311.34 : x
  2. Step 2: Convert to fraction form
    312.24/468.84 = 311.34/x
  3. Step 3: Cross multiply
    312.24x = 468.84 × 311.34
  4. Step 4: Simplify right side
    312.24x = 145,968.65
  5. Step 5: Solve for x
    x = 145,968.65/312.24
  6. Step 6: Final answer
    x = 467.49

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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.