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Finding the Fourth Proportional to 280.56, 418.10 and 277.83

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Solution

The fourth proportional to 280.56, 418.10 and 277.83 is: 414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.56 : 418.10 = 277.83 : x
  2. Step 2: Convert to fraction form
    280.56/418.10 = 277.83/x
  3. Step 3: Cross multiply
    280.56x = 418.10 × 277.83
  4. Step 4: Simplify right side
    280.56x = 116,158.63
  5. Step 5: Solve for x
    x = 116,158.63/280.56
  6. Step 6: Final answer
    x = 414.02

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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.