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Finding the Fourth Proportional to 339.79, 509.69 and 262.87

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Solution

The fourth proportional to 339.79, 509.69 and 262.87 is: 394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.79 : 509.69 = 262.87 : x
  2. Step 2: Convert to fraction form
    339.79/509.69 = 262.87/x
  3. Step 3: Cross multiply
    339.79x = 509.69 × 262.87
  4. Step 4: Simplify right side
    339.79x = 133,982.21
  5. Step 5: Solve for x
    x = 133,982.21/339.79
  6. Step 6: Final answer
    x = 394.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.