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Finding the Fourth Proportional to 231.64, 344.59 and 229.32

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Solution

The fourth proportional to 231.64, 344.59 and 229.32 is: 341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.64 : 344.59 = 229.32 : x
  2. Step 2: Convert to fraction form
    231.64/344.59 = 229.32/x
  3. Step 3: Cross multiply
    231.64x = 344.59 × 229.32
  4. Step 4: Simplify right side
    231.64x = 79,021.38
  5. Step 5: Solve for x
    x = 79,021.38/231.64
  6. Step 6: Final answer
    x = 341.14

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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.