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Finding the Fourth Proportional to 311.79, 465.25 and 275.34

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Solution

The fourth proportional to 311.79, 465.25 and 275.34 is: 410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.79 : 465.25 = 275.34 : x
  2. Step 2: Convert to fraction form
    311.79/465.25 = 275.34/x
  3. Step 3: Cross multiply
    311.79x = 465.25 × 275.34
  4. Step 4: Simplify right side
    311.79x = 128,101.25
  5. Step 5: Solve for x
    x = 128,101.25/311.79
  6. Step 6: Final answer
    x = 410.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.