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Finding the Fourth Proportional to 334.31, 498.51 and 311.22

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Solution

The fourth proportional to 334.31, 498.51 and 311.22 is: 464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.31 : 498.51 = 311.22 : x
  2. Step 2: Convert to fraction form
    334.31/498.51 = 311.22/x
  3. Step 3: Cross multiply
    334.31x = 498.51 × 311.22
  4. Step 4: Simplify right side
    334.31x = 155,146.28
  5. Step 5: Solve for x
    x = 155,146.28/334.31
  6. Step 6: Final answer
    x = 464.09

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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.