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Finding the Fourth Proportional to 458.85, 687.97 and 180.96

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Solution

The fourth proportional to 458.85, 687.97 and 180.96 is: 271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.85 : 687.97 = 180.96 : x
  2. Step 2: Convert to fraction form
    458.85/687.97 = 180.96/x
  3. Step 3: Cross multiply
    458.85x = 687.97 × 180.96
  4. Step 4: Simplify right side
    458.85x = 124,495.05
  5. Step 5: Solve for x
    x = 124,495.05/458.85
  6. Step 6: Final answer
    x = 271.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.