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Finding the Fourth Proportional to 340.54, 513.29 and 280.40

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Solution

The fourth proportional to 340.54, 513.29 and 280.40 is: 422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.54 : 513.29 = 280.40 : x
  2. Step 2: Convert to fraction form
    340.54/513.29 = 280.40/x
  3. Step 3: Cross multiply
    340.54x = 513.29 × 280.40
  4. Step 4: Simplify right side
    340.54x = 143,924.65
  5. Step 5: Solve for x
    x = 143,924.65/340.54
  6. Step 6: Final answer
    x = 422.64

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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.