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Finding the Fourth Proportional to 280.84, 422.80 and 255.72

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Solution

The fourth proportional to 280.84, 422.80 and 255.72 is: 384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.84 : 422.80 = 255.72 : x
  2. Step 2: Convert to fraction form
    280.84/422.80 = 255.72/x
  3. Step 3: Cross multiply
    280.84x = 422.80 × 255.72
  4. Step 4: Simplify right side
    280.84x = 108,118.42
  5. Step 5: Solve for x
    x = 108,118.42/280.84
  6. Step 6: Final answer
    x = 384.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.