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Finding the Fourth Proportional to 340.28, 471.99 and 328.62

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Solution

The fourth proportional to 340.28, 471.99 and 328.62 is: 455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.28 : 471.99 = 328.62 : x
  2. Step 2: Convert to fraction form
    340.28/471.99 = 328.62/x
  3. Step 3: Cross multiply
    340.28x = 471.99 × 328.62
  4. Step 4: Simplify right side
    340.28x = 155,105.35
  5. Step 5: Solve for x
    x = 155,105.35/340.28
  6. Step 6: Final answer
    x = 455.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.