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Finding the Fourth Proportional to 340.45, 469.82 and 185.20

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Solution

The fourth proportional to 340.45, 469.82 and 185.20 is: 255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.45 : 469.82 = 185.20 : x
  2. Step 2: Convert to fraction form
    340.45/469.82 = 185.20/x
  3. Step 3: Cross multiply
    340.45x = 469.82 × 185.20
  4. Step 4: Simplify right side
    340.45x = 87,007.39
  5. Step 5: Solve for x
    x = 87,007.39/340.45
  6. Step 6: Final answer
    x = 255.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.