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Finding the Fourth Proportional to 278.48, 384 and 204.68

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Solution

The fourth proportional to 278.48, 384 and 204.68 is: 282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.48 : 384 = 204.68 : x
  2. Step 2: Convert to fraction form
    278.48/384 = 204.68/x
  3. Step 3: Cross multiply
    278.48x = 384 × 204.68
  4. Step 4: Simplify right side
    278.48x = 78,597.12
  5. Step 5: Solve for x
    x = 78,597.12/278.48
  6. Step 6: Final answer
    x = 282.24

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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.