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Finding the Fourth Proportional to 340.30, 513.19 and 338.14

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Solution

The fourth proportional to 340.30, 513.19 and 338.14 is: 509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.30 : 513.19 = 338.14 : x
  2. Step 2: Convert to fraction form
    340.30/513.19 = 338.14/x
  3. Step 3: Cross multiply
    340.30x = 513.19 × 338.14
  4. Step 4: Simplify right side
    340.30x = 173,530.07
  5. Step 5: Solve for x
    x = 173,530.07/340.30
  6. Step 6: Final answer
    x = 509.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.