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Finding the Fourth Proportional to 281.82, 390.54 and 278.34

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Solution

The fourth proportional to 281.82, 390.54 and 278.34 is: 385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.82 : 390.54 = 278.34 : x
  2. Step 2: Convert to fraction form
    281.82/390.54 = 278.34/x
  3. Step 3: Cross multiply
    281.82x = 390.54 × 278.34
  4. Step 4: Simplify right side
    281.82x = 108,702.90
  5. Step 5: Solve for x
    x = 108,702.90/281.82
  6. Step 6: Final answer
    x = 385.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.