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Finding the Fourth Proportional to 278.68, 384.57 and 160.66

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Solution

The fourth proportional to 278.68, 384.57 and 160.66 is: 221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.68 : 384.57 = 160.66 : x
  2. Step 2: Convert to fraction form
    278.68/384.57 = 160.66/x
  3. Step 3: Cross multiply
    278.68x = 384.57 × 160.66
  4. Step 4: Simplify right side
    278.68x = 61,785.02
  5. Step 5: Solve for x
    x = 61,785.02/278.68
  6. Step 6: Final answer
    x = 221.71

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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.