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Finding the Fourth Proportional to 278.42, 384.07 and 204.57

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Solution

The fourth proportional to 278.42, 384.07 and 204.57 is: 282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.42 : 384.07 = 204.57 : x
  2. Step 2: Convert to fraction form
    278.42/384.07 = 204.57/x
  3. Step 3: Cross multiply
    278.42x = 384.07 × 204.57
  4. Step 4: Simplify right side
    278.42x = 78,569.20
  5. Step 5: Solve for x
    x = 78,569.20/278.42
  6. Step 6: Final answer
    x = 282.20

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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.