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Finding the Fourth Proportional to 252.60, 346.04 and 230.73

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Solution

The fourth proportional to 252.60, 346.04 and 230.73 is: 316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.60 : 346.04 = 230.73 : x
  2. Step 2: Convert to fraction form
    252.60/346.04 = 230.73/x
  3. Step 3: Cross multiply
    252.60x = 346.04 × 230.73
  4. Step 4: Simplify right side
    252.60x = 79,840.66
  5. Step 5: Solve for x
    x = 79,840.66/252.60
  6. Step 6: Final answer
    x = 316.08

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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.