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Finding the Fourth Proportional to 342.12, 509.79 and 339.27

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Solution

The fourth proportional to 342.12, 509.79 and 339.27 is: 505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.12 : 509.79 = 339.27 : x
  2. Step 2: Convert to fraction form
    342.12/509.79 = 339.27/x
  3. Step 3: Cross multiply
    342.12x = 509.79 × 339.27
  4. Step 4: Simplify right side
    342.12x = 172,956.45
  5. Step 5: Solve for x
    x = 172,956.45/342.12
  6. Step 6: Final answer
    x = 505.54

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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.