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Finding the Fourth Proportional to 316.73, 437.14 and 234.08

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Solution

The fourth proportional to 316.73, 437.14 and 234.08 is: 323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.73 : 437.14 = 234.08 : x
  2. Step 2: Convert to fraction form
    316.73/437.14 = 234.08/x
  3. Step 3: Cross multiply
    316.73x = 437.14 × 234.08
  4. Step 4: Simplify right side
    316.73x = 102,325.52
  5. Step 5: Solve for x
    x = 102,325.52/316.73
  6. Step 6: Final answer
    x = 323.07

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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.