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Finding the Fourth Proportional to 224.60, 309.89 and 151.09

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Solution

The fourth proportional to 224.60, 309.89 and 151.09 is: 208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.60 : 309.89 = 151.09 : x
  2. Step 2: Convert to fraction form
    224.60/309.89 = 151.09/x
  3. Step 3: Cross multiply
    224.60x = 309.89 × 151.09
  4. Step 4: Simplify right side
    224.60x = 46,820.88
  5. Step 5: Solve for x
    x = 46,820.88/224.60
  6. Step 6: Final answer
    x = 208.47

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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.