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Finding the Fourth Proportional to 280.29, 386.81 and 180.77

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Solution

The fourth proportional to 280.29, 386.81 and 180.77 is: 249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.29 : 386.81 = 180.77 : x
  2. Step 2: Convert to fraction form
    280.29/386.81 = 180.77/x
  3. Step 3: Cross multiply
    280.29x = 386.81 × 180.77
  4. Step 4: Simplify right side
    280.29x = 69,920.81
  5. Step 5: Solve for x
    x = 69,920.81/280.29
  6. Step 6: Final answer
    x = 249.46

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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.