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Finding the Fourth Proportional to 280.84, 388.04 and 231.68

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Solution

The fourth proportional to 280.84, 388.04 and 231.68 is: 320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.84 : 388.04 = 231.68 : x
  2. Step 2: Convert to fraction form
    280.84/388.04 = 231.68/x
  3. Step 3: Cross multiply
    280.84x = 388.04 × 231.68
  4. Step 4: Simplify right side
    280.84x = 89,901.11
  5. Step 5: Solve for x
    x = 89,901.11/280.84
  6. Step 6: Final answer
    x = 320.12

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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.