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Finding the Fourth Proportional to 311.21, 466.47 and 128.51

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Solution

The fourth proportional to 311.21, 466.47 and 128.51 is: 192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.21 : 466.47 = 128.51 : x
  2. Step 2: Convert to fraction form
    311.21/466.47 = 128.51/x
  3. Step 3: Cross multiply
    311.21x = 466.47 × 128.51
  4. Step 4: Simplify right side
    311.21x = 59,943.73
  5. Step 5: Solve for x
    x = 59,943.73/311.21
  6. Step 6: Final answer
    x = 192.62

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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.