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Finding the Fourth Proportional to 311.51, 466.92 and 128.85

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Solution

The fourth proportional to 311.51, 466.92 and 128.85 is: 193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.51 : 466.92 = 128.85 : x
  2. Step 2: Convert to fraction form
    311.51/466.92 = 128.85/x
  3. Step 3: Cross multiply
    311.51x = 466.92 × 128.85
  4. Step 4: Simplify right side
    311.51x = 60,162.00
  5. Step 5: Solve for x
    x = 60,162.00/311.51
  6. Step 6: Final answer
    x = 193.13

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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.