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Finding the Fourth Proportional to 314.11, 433.02 and 239.42

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Solution

The fourth proportional to 314.11, 433.02 and 239.42 is: 330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.11 : 433.02 = 239.42 : x
  2. Step 2: Convert to fraction form
    314.11/433.02 = 239.42/x
  3. Step 3: Cross multiply
    314.11x = 433.02 × 239.42
  4. Step 4: Simplify right side
    314.11x = 103,675.63
  5. Step 5: Solve for x
    x = 103,675.63/314.11
  6. Step 6: Final answer
    x = 330.06

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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.