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Finding the Fourth Proportional to 231.90, 347.86 and 135.50

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Solution

The fourth proportional to 231.90, 347.86 and 135.50 is: 203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.90 : 347.86 = 135.50 : x
  2. Step 2: Convert to fraction form
    231.90/347.86 = 135.50/x
  3. Step 3: Cross multiply
    231.90x = 347.86 × 135.50
  4. Step 4: Simplify right side
    231.90x = 47,135.03
  5. Step 5: Solve for x
    x = 47,135.03/231.90
  6. Step 6: Final answer
    x = 203.26

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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.