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Finding the Fourth Proportional to 280.11, 386.70 and 186.99

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Solution

The fourth proportional to 280.11, 386.70 and 186.99 is: 258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.11 : 386.70 = 186.99 : x
  2. Step 2: Convert to fraction form
    280.11/386.70 = 186.99/x
  3. Step 3: Cross multiply
    280.11x = 386.70 × 186.99
  4. Step 4: Simplify right side
    280.11x = 72,309.03
  5. Step 5: Solve for x
    x = 72,309.03/280.11
  6. Step 6: Final answer
    x = 258.15

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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.