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Finding the Fourth Proportional to 231.58, 345.90 and 195.13

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Solution

The fourth proportional to 231.58, 345.90 and 195.13 is: 291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.58 : 345.90 = 195.13 : x
  2. Step 2: Convert to fraction form
    231.58/345.90 = 195.13/x
  3. Step 3: Cross multiply
    231.58x = 345.90 × 195.13
  4. Step 4: Simplify right side
    231.58x = 67,494.97
  5. Step 5: Solve for x
    x = 67,494.97/231.58
  6. Step 6: Final answer
    x = 291.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.