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Finding the Fourth Proportional to 311.45, 467.15 and 106.02

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Solution

The fourth proportional to 311.45, 467.15 and 106.02 is: 159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.45 : 467.15 = 106.02 : x
  2. Step 2: Convert to fraction form
    311.45/467.15 = 106.02/x
  3. Step 3: Cross multiply
    311.45x = 467.15 × 106.02
  4. Step 4: Simplify right side
    311.45x = 49,526.71
  5. Step 5: Solve for x
    x = 49,526.71/311.45
  6. Step 6: Final answer
    x = 159.02

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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.