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Finding the Fourth Proportional to 311.88, 469.68 and 275.67

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Solution

The fourth proportional to 311.88, 469.68 and 275.67 is: 415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.88 : 469.68 = 275.67 : x
  2. Step 2: Convert to fraction form
    311.88/469.68 = 275.67/x
  3. Step 3: Cross multiply
    311.88x = 469.68 × 275.67
  4. Step 4: Simplify right side
    311.88x = 129,476.69
  5. Step 5: Solve for x
    x = 129,476.69/311.88
  6. Step 6: Final answer
    x = 415.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.