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Finding the Fourth Proportional to 230.70, 345.47 and 138.10

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Solution

The fourth proportional to 230.70, 345.47 and 138.10 is: 206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.70 : 345.47 = 138.10 : x
  2. Step 2: Convert to fraction form
    230.70/345.47 = 138.10/x
  3. Step 3: Cross multiply
    230.70x = 345.47 × 138.10
  4. Step 4: Simplify right side
    230.70x = 47,708.40
  5. Step 5: Solve for x
    x = 47,708.40/230.70
  6. Step 6: Final answer
    x = 206.80

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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.