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Finding the Fourth Proportional to 334.76, 504.68 and 311.27

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Solution

The fourth proportional to 334.76, 504.68 and 311.27 is: 469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.76 : 504.68 = 311.27 : x
  2. Step 2: Convert to fraction form
    334.76/504.68 = 311.27/x
  3. Step 3: Cross multiply
    334.76x = 504.68 × 311.27
  4. Step 4: Simplify right side
    334.76x = 157,087.66
  5. Step 5: Solve for x
    x = 157,087.66/334.76
  6. Step 6: Final answer
    x = 469.26

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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.