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Finding the Fourth Proportional to 312.51, 431.06 and 232.68

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Solution

The fourth proportional to 312.51, 431.06 and 232.68 is: 320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.51 : 431.06 = 232.68 : x
  2. Step 2: Convert to fraction form
    312.51/431.06 = 232.68/x
  3. Step 3: Cross multiply
    312.51x = 431.06 × 232.68
  4. Step 4: Simplify right side
    312.51x = 100,296.89
  5. Step 5: Solve for x
    x = 100,296.89/312.51
  6. Step 6: Final answer
    x = 320.94

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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.