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Finding the Fourth Proportional to 280.73, 387.38 and 187.58

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Solution

The fourth proportional to 280.73, 387.38 and 187.58 is: 258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.73 : 387.38 = 187.58 : x
  2. Step 2: Convert to fraction form
    280.73/387.38 = 187.58/x
  3. Step 3: Cross multiply
    280.73x = 387.38 × 187.58
  4. Step 4: Simplify right side
    280.73x = 72,664.74
  5. Step 5: Solve for x
    x = 72,664.74/280.73
  6. Step 6: Final answer
    x = 258.84

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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.