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Finding the Fourth Proportional to 311.99, 468.47 and 261.02

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Solution

The fourth proportional to 311.99, 468.47 and 261.02 is: 391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.99 : 468.47 = 261.02 : x
  2. Step 2: Convert to fraction form
    311.99/468.47 = 261.02/x
  3. Step 3: Cross multiply
    311.99x = 468.47 × 261.02
  4. Step 4: Simplify right side
    311.99x = 122,281.86
  5. Step 5: Solve for x
    x = 122,281.86/311.99
  6. Step 6: Final answer
    x = 391.95

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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.