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Finding the Fourth Proportional to 251.97, 347.61 and 232.32

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Solution

The fourth proportional to 251.97, 347.61 and 232.32 is: 320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.97 : 347.61 = 232.32 : x
  2. Step 2: Convert to fraction form
    251.97/347.61 = 232.32/x
  3. Step 3: Cross multiply
    251.97x = 347.61 × 232.32
  4. Step 4: Simplify right side
    251.97x = 80,756.76
  5. Step 5: Solve for x
    x = 80,756.76/251.97
  6. Step 6: Final answer
    x = 320.50

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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.