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Finding the Fourth Proportional to 280.93, 387.52 and 177.25

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Solution

The fourth proportional to 280.93, 387.52 and 177.25 is: 244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.93 : 387.52 = 177.25 : x
  2. Step 2: Convert to fraction form
    280.93/387.52 = 177.25/x
  3. Step 3: Cross multiply
    280.93x = 387.52 × 177.25
  4. Step 4: Simplify right side
    280.93x = 68,687.92
  5. Step 5: Solve for x
    x = 68,687.92/280.93
  6. Step 6: Final answer
    x = 244.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.