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Finding the Fourth Proportional to 311.68, 464.72 and 277.44

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Solution

The fourth proportional to 311.68, 464.72 and 277.44 is: 413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.68 : 464.72 = 277.44 : x
  2. Step 2: Convert to fraction form
    311.68/464.72 = 277.44/x
  3. Step 3: Cross multiply
    311.68x = 464.72 × 277.44
  4. Step 4: Simplify right side
    311.68x = 128,931.92
  5. Step 5: Solve for x
    x = 128,931.92/311.68
  6. Step 6: Final answer
    x = 413.67

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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.