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Finding the Fourth Proportional to 340, 467.94 and 280.51

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Solution

The fourth proportional to 340, 467.94 and 280.51 is: 386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340 : 467.94 = 280.51 : x
  2. Step 2: Convert to fraction form
    340/467.94 = 280.51/x
  3. Step 3: Cross multiply
    340x = 467.94 × 280.51
  4. Step 4: Simplify right side
    340x = 131,261.85
  5. Step 5: Solve for x
    x = 131,261.85/340
  6. Step 6: Final answer
    x = 386.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.