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Finding the Fourth Proportional to 422.81, 583.08 and 280.77

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Solution

The fourth proportional to 422.81, 583.08 and 280.77 is: 387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.81 : 583.08 = 280.77 : x
  2. Step 2: Convert to fraction form
    422.81/583.08 = 280.77/x
  3. Step 3: Cross multiply
    422.81x = 583.08 × 280.77
  4. Step 4: Simplify right side
    422.81x = 163,710.62
  5. Step 5: Solve for x
    x = 163,710.62/422.81
  6. Step 6: Final answer
    x = 387.20

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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.