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Finding the Fourth Proportional to 293.42, 439.93 and 137.19

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Solution

The fourth proportional to 293.42, 439.93 and 137.19 is: 205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.42 : 439.93 = 137.19 : x
  2. Step 2: Convert to fraction form
    293.42/439.93 = 137.19/x
  3. Step 3: Cross multiply
    293.42x = 439.93 × 137.19
  4. Step 4: Simplify right side
    293.42x = 60,355.82
  5. Step 5: Solve for x
    x = 60,355.82/293.42
  6. Step 6: Final answer
    x = 205.70

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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.