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Finding the Fourth Proportional to 311.10, 464.38 and 289.74

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Solution

The fourth proportional to 311.10, 464.38 and 289.74 is: 432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.10 : 464.38 = 289.74 : x
  2. Step 2: Convert to fraction form
    311.10/464.38 = 289.74/x
  3. Step 3: Cross multiply
    311.10x = 464.38 × 289.74
  4. Step 4: Simplify right side
    311.10x = 134,548.74
  5. Step 5: Solve for x
    x = 134,548.74/311.10
  6. Step 6: Final answer
    x = 432.49

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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.