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Finding the Fourth Proportional to 316.82, 437.53 and 192.56

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Solution

The fourth proportional to 316.82, 437.53 and 192.56 is: 265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.82 : 437.53 = 192.56 : x
  2. Step 2: Convert to fraction form
    316.82/437.53 = 192.56/x
  3. Step 3: Cross multiply
    316.82x = 437.53 × 192.56
  4. Step 4: Simplify right side
    316.82x = 84,249.77
  5. Step 5: Solve for x
    x = 84,249.77/316.82
  6. Step 6: Final answer
    x = 265.93

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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.