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Finding the Fourth Proportional to 230.60, 318.39 and 178.06

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Solution

The fourth proportional to 230.60, 318.39 and 178.06 is: 245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.60 : 318.39 = 178.06 : x
  2. Step 2: Convert to fraction form
    230.60/318.39 = 178.06/x
  3. Step 3: Cross multiply
    230.60x = 318.39 × 178.06
  4. Step 4: Simplify right side
    230.60x = 56,691.06
  5. Step 5: Solve for x
    x = 56,691.06/230.60
  6. Step 6: Final answer
    x = 245.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.