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Finding the Fourth Proportional to 278, 416.64 and 205.28

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Solution

The fourth proportional to 278, 416.64 and 205.28 is: 307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278 : 416.64 = 205.28 : x
  2. Step 2: Convert to fraction form
    278/416.64 = 205.28/x
  3. Step 3: Cross multiply
    278x = 416.64 × 205.28
  4. Step 4: Simplify right side
    278x = 85,527.86
  5. Step 5: Solve for x
    x = 85,527.86/278
  6. Step 6: Final answer
    x = 307.65

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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.