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Finding the Fourth Proportional to 337, 503.21 and 311.08

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Solution

The fourth proportional to 337, 503.21 and 311.08 is: 464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337 : 503.21 = 311.08 : x
  2. Step 2: Convert to fraction form
    337/503.21 = 311.08/x
  3. Step 3: Cross multiply
    337x = 503.21 × 311.08
  4. Step 4: Simplify right side
    337x = 156,538.57
  5. Step 5: Solve for x
    x = 156,538.57/337
  6. Step 6: Final answer
    x = 464.51

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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.