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Finding the Fourth Proportional to 231.18, 346.82 and 85.02

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Solution

The fourth proportional to 231.18, 346.82 and 85.02 is: 127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.18 : 346.82 = 85.02 : x
  2. Step 2: Convert to fraction form
    231.18/346.82 = 85.02/x
  3. Step 3: Cross multiply
    231.18x = 346.82 × 85.02
  4. Step 4: Simplify right side
    231.18x = 29,486.21
  5. Step 5: Solve for x
    x = 29,486.21/231.18
  6. Step 6: Final answer
    x = 127.55

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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.