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Finding the Fourth Proportional to 278.63, 384.46 and 166.57

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Solution

The fourth proportional to 278.63, 384.46 and 166.57 is: 229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.63 : 384.46 = 166.57 : x
  2. Step 2: Convert to fraction form
    278.63/384.46 = 166.57/x
  3. Step 3: Cross multiply
    278.63x = 384.46 × 166.57
  4. Step 4: Simplify right side
    278.63x = 64,038.12
  5. Step 5: Solve for x
    x = 64,038.12/278.63
  6. Step 6: Final answer
    x = 229.83

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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.