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Finding the Fourth Proportional to 231.12, 346.28 and 158.63

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Solution

The fourth proportional to 231.12, 346.28 and 158.63 is: 237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.12 : 346.28 = 158.63 : x
  2. Step 2: Convert to fraction form
    231.12/346.28 = 158.63/x
  3. Step 3: Cross multiply
    231.12x = 346.28 × 158.63
  4. Step 4: Simplify right side
    231.12x = 54,927.87
  5. Step 5: Solve for x
    x = 54,927.87/231.12
  6. Step 6: Final answer
    x = 237.66

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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.