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Finding the Fourth Proportional to 338.30, 466.50 and 311.84

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Solution

The fourth proportional to 338.30, 466.50 and 311.84 is: 430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.30 : 466.50 = 311.84 : x
  2. Step 2: Convert to fraction form
    338.30/466.50 = 311.84/x
  3. Step 3: Cross multiply
    338.30x = 466.50 × 311.84
  4. Step 4: Simplify right side
    338.30x = 145,473.36
  5. Step 5: Solve for x
    x = 145,473.36/338.30
  6. Step 6: Final answer
    x = 430.01

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Why These Related Problems?

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