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Finding the Fourth Proportional to 312.12, 468.32 and 298.22

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Solution

The fourth proportional to 312.12, 468.32 and 298.22 is: 447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.12 : 468.32 = 298.22 : x
  2. Step 2: Convert to fraction form
    312.12/468.32 = 298.22/x
  3. Step 3: Cross multiply
    312.12x = 468.32 × 298.22
  4. Step 4: Simplify right side
    312.12x = 139,658.56
  5. Step 5: Solve for x
    x = 139,658.56/312.12
  6. Step 6: Final answer
    x = 447.45

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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.