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Finding the Fourth Proportional to 311.98, 468.26 and 158.01

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Solution

The fourth proportional to 311.98, 468.26 and 158.01 is: 237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.98 : 468.26 = 158.01 : x
  2. Step 2: Convert to fraction form
    311.98/468.26 = 158.01/x
  3. Step 3: Cross multiply
    311.98x = 468.26 × 158.01
  4. Step 4: Simplify right side
    311.98x = 73,990.54
  5. Step 5: Solve for x
    x = 73,990.54/311.98
  6. Step 6: Final answer
    x = 237.17

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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.