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Finding the Fourth Proportional to 334.43, 498.70 and 311.35

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Solution

The fourth proportional to 334.43, 498.70 and 311.35 is: 464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.43 : 498.70 = 311.35 : x
  2. Step 2: Convert to fraction form
    334.43/498.70 = 311.35/x
  3. Step 3: Cross multiply
    334.43x = 498.70 × 311.35
  4. Step 4: Simplify right side
    334.43x = 155,270.25
  5. Step 5: Solve for x
    x = 155,270.25/334.43
  6. Step 6: Final answer
    x = 464.28

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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.