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Finding the Fourth Proportional to 311.32, 468.06 and 287.56

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Solution

The fourth proportional to 311.32, 468.06 and 287.56 is: 432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.32 : 468.06 = 287.56 : x
  2. Step 2: Convert to fraction form
    311.32/468.06 = 287.56/x
  3. Step 3: Cross multiply
    311.32x = 468.06 × 287.56
  4. Step 4: Simplify right side
    311.32x = 134,595.33
  5. Step 5: Solve for x
    x = 134,595.33/311.32
  6. Step 6: Final answer
    x = 432.34

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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.