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Finding the Fourth Proportional to 230.68, 345.15 and 137.79

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Solution

The fourth proportional to 230.68, 345.15 and 137.79 is: 206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.68 : 345.15 = 137.79 : x
  2. Step 2: Convert to fraction form
    230.68/345.15 = 137.79/x
  3. Step 3: Cross multiply
    230.68x = 345.15 × 137.79
  4. Step 4: Simplify right side
    230.68x = 47,558.22
  5. Step 5: Solve for x
    x = 47,558.22/230.68
  6. Step 6: Final answer
    x = 206.17

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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.