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Finding the Fourth Proportional to 278.31, 384.05 and 160.31

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Solution

The fourth proportional to 278.31, 384.05 and 160.31 is: 221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.31 : 384.05 = 160.31 : x
  2. Step 2: Convert to fraction form
    278.31/384.05 = 160.31/x
  3. Step 3: Cross multiply
    278.31x = 384.05 × 160.31
  4. Step 4: Simplify right side
    278.31x = 61,565.54
  5. Step 5: Solve for x
    x = 61,565.54/278.31
  6. Step 6: Final answer
    x = 221.21

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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.