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Finding the Fourth Proportional to 231.76, 346.10 and 190.69

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Solution

The fourth proportional to 231.76, 346.10 and 190.69 is: 284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.76 : 346.10 = 190.69 : x
  2. Step 2: Convert to fraction form
    231.76/346.10 = 190.69/x
  3. Step 3: Cross multiply
    231.76x = 346.10 × 190.69
  4. Step 4: Simplify right side
    231.76x = 65,997.81
  5. Step 5: Solve for x
    x = 65,997.81/231.76
  6. Step 6: Final answer
    x = 284.77

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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.