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Finding the Fourth Proportional to 231.64, 345.23 and 231.28

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Solution

The fourth proportional to 231.64, 345.23 and 231.28 is: 344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.64 : 345.23 = 231.28 : x
  2. Step 2: Convert to fraction form
    231.64/345.23 = 231.28/x
  3. Step 3: Cross multiply
    231.64x = 345.23 × 231.28
  4. Step 4: Simplify right side
    231.64x = 79,844.79
  5. Step 5: Solve for x
    x = 79,844.79/231.64
  6. Step 6: Final answer
    x = 344.69

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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.