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Finding the Fourth Proportional to 137.64, 206.43 and 41.43

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Solution

The fourth proportional to 137.64, 206.43 and 41.43 is: 62.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.64 : 206.43 = 41.43 : x
  2. Step 2: Convert to fraction form
    137.64/206.43 = 41.43/x
  3. Step 3: Cross multiply
    137.64x = 206.43 × 41.43
  4. Step 4: Simplify right side
    137.64x = 8,552.39
  5. Step 5: Solve for x
    x = 8,552.39/137.64
  6. Step 6: Final answer
    x = 62.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.