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Finding the Fourth Proportional to 311.22, 464.28 and 260.19

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Solution

The fourth proportional to 311.22, 464.28 and 260.19 is: 388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.22 : 464.28 = 260.19 : x
  2. Step 2: Convert to fraction form
    311.22/464.28 = 260.19/x
  3. Step 3: Cross multiply
    311.22x = 464.28 × 260.19
  4. Step 4: Simplify right side
    311.22x = 120,801.01
  5. Step 5: Solve for x
    x = 120,801.01/311.22
  6. Step 6: Final answer
    x = 388.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.