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Finding the Fourth Proportional to 230.09, 316.58 and 193.01

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Solution

The fourth proportional to 230.09, 316.58 and 193.01 is: 265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.09 : 316.58 = 193.01 : x
  2. Step 2: Convert to fraction form
    230.09/316.58 = 193.01/x
  3. Step 3: Cross multiply
    230.09x = 316.58 × 193.01
  4. Step 4: Simplify right side
    230.09x = 61,100.56
  5. Step 5: Solve for x
    x = 61,100.56/230.09
  6. Step 6: Final answer
    x = 265.56

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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.