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Finding the Fourth Proportional to 280.91, 421.16 and 107.51

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Solution

The fourth proportional to 280.91, 421.16 and 107.51 is: 161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.91 : 421.16 = 107.51 : x
  2. Step 2: Convert to fraction form
    280.91/421.16 = 107.51/x
  3. Step 3: Cross multiply
    280.91x = 421.16 × 107.51
  4. Step 4: Simplify right side
    280.91x = 45,278.37
  5. Step 5: Solve for x
    x = 45,278.37/280.91
  6. Step 6: Final answer
    x = 161.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.