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Finding the Fourth Proportional to 231.72, 345.91 and 224.16

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Solution

The fourth proportional to 231.72, 345.91 and 224.16 is: 334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.72 : 345.91 = 224.16 : x
  2. Step 2: Convert to fraction form
    231.72/345.91 = 224.16/x
  3. Step 3: Cross multiply
    231.72x = 345.91 × 224.16
  4. Step 4: Simplify right side
    231.72x = 77,539.19
  5. Step 5: Solve for x
    x = 77,539.19/231.72
  6. Step 6: Final answer
    x = 334.62

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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.