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Finding the Fourth Proportional to 311.62, 468.64 and 301.90

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Solution

The fourth proportional to 311.62, 468.64 and 301.90 is: 454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.62 : 468.64 = 301.90 : x
  2. Step 2: Convert to fraction form
    311.62/468.64 = 301.90/x
  3. Step 3: Cross multiply
    311.62x = 468.64 × 301.90
  4. Step 4: Simplify right side
    311.62x = 141,482.42
  5. Step 5: Solve for x
    x = 141,482.42/311.62
  6. Step 6: Final answer
    x = 454.02

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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.