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Finding the Fourth Proportional to 339.06, 506.36 and 289.79

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Solution

The fourth proportional to 339.06, 506.36 and 289.79 is: 432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.06 : 506.36 = 289.79 : x
  2. Step 2: Convert to fraction form
    339.06/506.36 = 289.79/x
  3. Step 3: Cross multiply
    339.06x = 506.36 × 289.79
  4. Step 4: Simplify right side
    339.06x = 146,734.08
  5. Step 5: Solve for x
    x = 146,734.08/339.06
  6. Step 6: Final answer
    x = 432.77

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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.