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Finding the Fourth Proportional to 231.45, 345.50 and 214.56

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Solution

The fourth proportional to 231.45, 345.50 and 214.56 is: 320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.45 : 345.50 = 214.56 : x
  2. Step 2: Convert to fraction form
    231.45/345.50 = 214.56/x
  3. Step 3: Cross multiply
    231.45x = 345.50 × 214.56
  4. Step 4: Simplify right side
    231.45x = 74,131.02
  5. Step 5: Solve for x
    x = 74,131.02/231.45
  6. Step 6: Final answer
    x = 320.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.