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Finding the Fourth Proportional to 513.13, 708.12 and 280.25

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Solution

The fourth proportional to 513.13, 708.12 and 280.25 is: 386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.13 : 708.12 = 280.25 : x
  2. Step 2: Convert to fraction form
    513.13/708.12 = 280.25/x
  3. Step 3: Cross multiply
    513.13x = 708.12 × 280.25
  4. Step 4: Simplify right side
    513.13x = 198,449.23
  5. Step 5: Solve for x
    x = 198,449.23/513.13
  6. Step 6: Final answer
    x = 386.75

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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.