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Finding the Fourth Proportional to 280.48, 387.08 and 164

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Solution

The fourth proportional to 280.48, 387.08 and 164 is: 226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.48 : 387.08 = 164 : x
  2. Step 2: Convert to fraction form
    280.48/387.08 = 164/x
  3. Step 3: Cross multiply
    280.48x = 387.08 × 164
  4. Step 4: Simplify right side
    280.48x = 63,481.12
  5. Step 5: Solve for x
    x = 63,481.12/280.48
  6. Step 6: Final answer
    x = 226.33

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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.