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Finding the Fourth Proportional to 280.63, 386.97 and 170.06

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Solution

The fourth proportional to 280.63, 386.97 and 170.06 is: 234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.63 : 386.97 = 170.06 : x
  2. Step 2: Convert to fraction form
    280.63/386.97 = 170.06/x
  3. Step 3: Cross multiply
    280.63x = 386.97 × 170.06
  4. Step 4: Simplify right side
    280.63x = 65,808.12
  5. Step 5: Solve for x
    x = 65,808.12/280.63
  6. Step 6: Final answer
    x = 234.51

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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.