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Finding the Fourth Proportional to 311.03, 466.73 and 128.40

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Solution

The fourth proportional to 311.03, 466.73 and 128.40 is: 192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.03 : 466.73 = 128.40 : x
  2. Step 2: Convert to fraction form
    311.03/466.73 = 128.40/x
  3. Step 3: Cross multiply
    311.03x = 466.73 × 128.40
  4. Step 4: Simplify right side
    311.03x = 59,927.49
  5. Step 5: Solve for x
    x = 59,927.49/311.03
  6. Step 6: Final answer
    x = 192.68

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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.