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Finding the Fourth Proportional to 278.77, 417.16 and 205.47

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Solution

The fourth proportional to 278.77, 417.16 and 205.47 is: 307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.77 : 417.16 = 205.47 : x
  2. Step 2: Convert to fraction form
    278.77/417.16 = 205.47/x
  3. Step 3: Cross multiply
    278.77x = 417.16 × 205.47
  4. Step 4: Simplify right side
    278.77x = 85,714.70
  5. Step 5: Solve for x
    x = 85,714.70/278.77
  6. Step 6: Final answer
    x = 307.48

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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.