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Finding the Fourth Proportional to 230.90, 319.07 and 187.16

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Solution

The fourth proportional to 230.90, 319.07 and 187.16 is: 258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.90 : 319.07 = 187.16 : x
  2. Step 2: Convert to fraction form
    230.90/319.07 = 187.16/x
  3. Step 3: Cross multiply
    230.90x = 319.07 × 187.16
  4. Step 4: Simplify right side
    230.90x = 59,716.01
  5. Step 5: Solve for x
    x = 59,716.01/230.90
  6. Step 6: Final answer
    x = 258.63

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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.