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Finding the Fourth Proportional to 231.86, 320.06 and 148.96

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Solution

The fourth proportional to 231.86, 320.06 and 148.96 is: 205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.86 : 320.06 = 148.96 : x
  2. Step 2: Convert to fraction form
    231.86/320.06 = 148.96/x
  3. Step 3: Cross multiply
    231.86x = 320.06 × 148.96
  4. Step 4: Simplify right side
    231.86x = 47,676.14
  5. Step 5: Solve for x
    x = 47,676.14/231.86
  6. Step 6: Final answer
    x = 205.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.