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Finding the Fourth Proportional to 340.28, 508.36 and 338.48

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Solution

The fourth proportional to 340.28, 508.36 and 338.48 is: 505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.28 : 508.36 = 338.48 : x
  2. Step 2: Convert to fraction form
    340.28/508.36 = 338.48/x
  3. Step 3: Cross multiply
    340.28x = 508.36 × 338.48
  4. Step 4: Simplify right side
    340.28x = 172,069.69
  5. Step 5: Solve for x
    x = 172,069.69/340.28
  6. Step 6: Final answer
    x = 505.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.