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Finding the Fourth Proportional to 231.46, 319.34 and 176.28

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Solution

The fourth proportional to 231.46, 319.34 and 176.28 is: 243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.46 : 319.34 = 176.28 : x
  2. Step 2: Convert to fraction form
    231.46/319.34 = 176.28/x
  3. Step 3: Cross multiply
    231.46x = 319.34 × 176.28
  4. Step 4: Simplify right side
    231.46x = 56,292.50
  5. Step 5: Solve for x
    x = 56,292.50/231.46
  6. Step 6: Final answer
    x = 243.21

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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.