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Finding the Fourth Proportional to 278.41, 384.40 and 173.66

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Solution

The fourth proportional to 278.41, 384.40 and 173.66 is: 239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.41 : 384.40 = 173.66 : x
  2. Step 2: Convert to fraction form
    278.41/384.40 = 173.66/x
  3. Step 3: Cross multiply
    278.41x = 384.40 × 173.66
  4. Step 4: Simplify right side
    278.41x = 66,753.07
  5. Step 5: Solve for x
    x = 66,753.07/278.41
  6. Step 6: Final answer
    x = 239.77

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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.