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Finding the Fourth Proportional to 231.89, 346.14 and 214.76

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Solution

The fourth proportional to 231.89, 346.14 and 214.76 is: 320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.89 : 346.14 = 214.76 : x
  2. Step 2: Convert to fraction form
    231.89/346.14 = 214.76/x
  3. Step 3: Cross multiply
    231.89x = 346.14 × 214.76
  4. Step 4: Simplify right side
    231.89x = 74,337.56
  5. Step 5: Solve for x
    x = 74,337.56/231.89
  6. Step 6: Final answer
    x = 320.57

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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.