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Finding the Fourth Proportional to 280.17, 418.55 and 181.86

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Solution

The fourth proportional to 280.17, 418.55 and 181.86 is: 271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.17 : 418.55 = 181.86 : x
  2. Step 2: Convert to fraction form
    280.17/418.55 = 181.86/x
  3. Step 3: Cross multiply
    280.17x = 418.55 × 181.86
  4. Step 4: Simplify right side
    280.17x = 76,116.59
  5. Step 5: Solve for x
    x = 76,116.59/280.17
  6. Step 6: Final answer
    x = 271.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.