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Finding the Fourth Proportional to 230.68, 346.02 and 139.34

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Solution

The fourth proportional to 230.68, 346.02 and 139.34 is: 209.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.68 : 346.02 = 139.34 : x
  2. Step 2: Convert to fraction form
    230.68/346.02 = 139.34/x
  3. Step 3: Cross multiply
    230.68x = 346.02 × 139.34
  4. Step 4: Simplify right side
    230.68x = 48,214.43
  5. Step 5: Solve for x
    x = 48,214.43/230.68
  6. Step 6: Final answer
    x = 209.01

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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.