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Finding the Fourth Proportional to 339.75, 509.10 and 305.33

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Solution

The fourth proportional to 339.75, 509.10 and 305.33 is: 457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.75 : 509.10 = 305.33 : x
  2. Step 2: Convert to fraction form
    339.75/509.10 = 305.33/x
  3. Step 3: Cross multiply
    339.75x = 509.10 × 305.33
  4. Step 4: Simplify right side
    339.75x = 155,440.96
  5. Step 5: Solve for x
    x = 155,440.96/339.75
  6. Step 6: Final answer
    x = 457.52

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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.