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Finding the Fourth Proportional to 340.08, 509.22 and 185.28

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Solution

The fourth proportional to 340.08, 509.22 and 185.28 is: 277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.08 : 509.22 = 185.28 : x
  2. Step 2: Convert to fraction form
    340.08/509.22 = 185.28/x
  3. Step 3: Cross multiply
    340.08x = 509.22 × 185.28
  4. Step 4: Simplify right side
    340.08x = 94,348.28
  5. Step 5: Solve for x
    x = 94,348.28/340.08
  6. Step 6: Final answer
    x = 277.43

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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.