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Finding the Fourth Proportional to 230.95, 319.02 and 187.21

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Solution

The fourth proportional to 230.95, 319.02 and 187.21 is: 258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.95 : 319.02 = 187.21 : x
  2. Step 2: Convert to fraction form
    230.95/319.02 = 187.21/x
  3. Step 3: Cross multiply
    230.95x = 319.02 × 187.21
  4. Step 4: Simplify right side
    230.95x = 59,722.14
  5. Step 5: Solve for x
    x = 59,722.14/230.95
  6. Step 6: Final answer
    x = 258.60

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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.