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Finding the Fourth Proportional to 380.28, 570.82 and 309

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Solution

The fourth proportional to 380.28, 570.82 and 309 is: 463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.28 : 570.82 = 309 : x
  2. Step 2: Convert to fraction form
    380.28/570.82 = 309/x
  3. Step 3: Cross multiply
    380.28x = 570.82 × 309
  4. Step 4: Simplify right side
    380.28x = 176,383.38
  5. Step 5: Solve for x
    x = 176,383.38/380.28
  6. Step 6: Final answer
    x = 463.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.