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Finding the Fourth Proportional to 312.65, 431.49 and 234.89

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Solution

The fourth proportional to 312.65, 431.49 and 234.89 is: 324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.65 : 431.49 = 234.89 : x
  2. Step 2: Convert to fraction form
    312.65/431.49 = 234.89/x
  3. Step 3: Cross multiply
    312.65x = 431.49 × 234.89
  4. Step 4: Simplify right side
    312.65x = 101,349.35
  5. Step 5: Solve for x
    x = 101,349.35/312.65
  6. Step 6: Final answer
    x = 324.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.