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Finding the Fourth Proportional to 230.11, 316.58 and 193.05

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Solution

The fourth proportional to 230.11, 316.58 and 193.05 is: 265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.11 : 316.58 = 193.05 : x
  2. Step 2: Convert to fraction form
    230.11/316.58 = 193.05/x
  3. Step 3: Cross multiply
    230.11x = 316.58 × 193.05
  4. Step 4: Simplify right side
    230.11x = 61,114.80
  5. Step 5: Solve for x
    x = 61,114.80/230.11
  6. Step 6: Final answer
    x = 265.59

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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.