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Finding the Fourth Proportional to 334.99, 462.11 and 311.52

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Solution

The fourth proportional to 334.99, 462.11 and 311.52 is: 429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.99 : 462.11 = 311.52 : x
  2. Step 2: Convert to fraction form
    334.99/462.11 = 311.52/x
  3. Step 3: Cross multiply
    334.99x = 462.11 × 311.52
  4. Step 4: Simplify right side
    334.99x = 143,956.51
  5. Step 5: Solve for x
    x = 143,956.51/334.99
  6. Step 6: Final answer
    x = 429.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.