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Finding the Fourth Proportional to 311.60, 464.68 and 304.04

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Solution

The fourth proportional to 311.60, 464.68 and 304.04 is: 453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.60 : 464.68 = 304.04 : x
  2. Step 2: Convert to fraction form
    311.60/464.68 = 304.04/x
  3. Step 3: Cross multiply
    311.60x = 464.68 × 304.04
  4. Step 4: Simplify right side
    311.60x = 141,281.31
  5. Step 5: Solve for x
    x = 141,281.31/311.60
  6. Step 6: Final answer
    x = 453.41

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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.