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Finding the Fourth Proportional to 230.24, 345.50 and 138.95

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Solution

The fourth proportional to 230.24, 345.50 and 138.95 is: 208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.24 : 345.50 = 138.95 : x
  2. Step 2: Convert to fraction form
    230.24/345.50 = 138.95/x
  3. Step 3: Cross multiply
    230.24x = 345.50 × 138.95
  4. Step 4: Simplify right side
    230.24x = 48,006.62
  5. Step 5: Solve for x
    x = 48,006.62/230.24
  6. Step 6: Final answer
    x = 208.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.