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Finding the Fourth Proportional to 230.85, 318.74 and 186.50

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Solution

The fourth proportional to 230.85, 318.74 and 186.50 is: 257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.85 : 318.74 = 186.50 : x
  2. Step 2: Convert to fraction form
    230.85/318.74 = 186.50/x
  3. Step 3: Cross multiply
    230.85x = 318.74 × 186.50
  4. Step 4: Simplify right side
    230.85x = 59,444.87
  5. Step 5: Solve for x
    x = 59,444.87/230.85
  6. Step 6: Final answer
    x = 257.50

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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.