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Finding the Fourth Proportional to 235.54, 322.90 and 231.76

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Solution

The fourth proportional to 235.54, 322.90 and 231.76 is: 317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.54 : 322.90 = 231.76 : x
  2. Step 2: Convert to fraction form
    235.54/322.90 = 231.76/x
  3. Step 3: Cross multiply
    235.54x = 322.90 × 231.76
  4. Step 4: Simplify right side
    235.54x = 74,835.30
  5. Step 5: Solve for x
    x = 74,835.30/235.54
  6. Step 6: Final answer
    x = 317.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.