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Finding the Fourth Proportional to 235.61, 351.44 and 213.74

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Solution

The fourth proportional to 235.61, 351.44 and 213.74 is: 318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.61 : 351.44 = 213.74 : x
  2. Step 2: Convert to fraction form
    235.61/351.44 = 213.74/x
  3. Step 3: Cross multiply
    235.61x = 351.44 × 213.74
  4. Step 4: Simplify right side
    235.61x = 75,116.08
  5. Step 5: Solve for x
    x = 75,116.08/235.61
  6. Step 6: Final answer
    x = 318.82

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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.