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Finding the Fourth Proportional to 278.86, 384.86 and 160.84

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Solution

The fourth proportional to 278.86, 384.86 and 160.84 is: 221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.86 : 384.86 = 160.84 : x
  2. Step 2: Convert to fraction form
    278.86/384.86 = 160.84/x
  3. Step 3: Cross multiply
    278.86x = 384.86 × 160.84
  4. Step 4: Simplify right side
    278.86x = 61,900.88
  5. Step 5: Solve for x
    x = 61,900.88/278.86
  6. Step 6: Final answer
    x = 221.98

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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.