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Finding the Fourth Proportional to 458.19, 687.57 and 180.78

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Solution

The fourth proportional to 458.19, 687.57 and 180.78 is: 271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.19 : 687.57 = 180.78 : x
  2. Step 2: Convert to fraction form
    458.19/687.57 = 180.78/x
  3. Step 3: Cross multiply
    458.19x = 687.57 × 180.78
  4. Step 4: Simplify right side
    458.19x = 124,298.90
  5. Step 5: Solve for x
    x = 124,298.90/458.19
  6. Step 6: Final answer
    x = 271.28

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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.