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Finding the Fourth Proportional to 458.14, 631.94 and 271.56

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Solution

The fourth proportional to 458.14, 631.94 and 271.56 is: 374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.14 : 631.94 = 271.56 : x
  2. Step 2: Convert to fraction form
    458.14/631.94 = 271.56/x
  3. Step 3: Cross multiply
    458.14x = 631.94 × 271.56
  4. Step 4: Simplify right side
    458.14x = 171,609.63
  5. Step 5: Solve for x
    x = 171,609.63/458.14
  6. Step 6: Final answer
    x = 374.58

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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.