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Finding the Fourth Proportional to 280.41, 387.05 and 182.18

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Solution

The fourth proportional to 280.41, 387.05 and 182.18 is: 251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.41 : 387.05 = 182.18 : x
  2. Step 2: Convert to fraction form
    280.41/387.05 = 182.18/x
  3. Step 3: Cross multiply
    280.41x = 387.05 × 182.18
  4. Step 4: Simplify right side
    280.41x = 70,512.77
  5. Step 5: Solve for x
    x = 70,512.77/280.41
  6. Step 6: Final answer
    x = 251.46

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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.