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Finding the Fourth Proportional to 278.50, 384.14 and 180.22

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Solution

The fourth proportional to 278.50, 384.14 and 180.22 is: 248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.50 : 384.14 = 180.22 : x
  2. Step 2: Convert to fraction form
    278.50/384.14 = 180.22/x
  3. Step 3: Cross multiply
    278.50x = 384.14 × 180.22
  4. Step 4: Simplify right side
    278.50x = 69,229.71
  5. Step 5: Solve for x
    x = 69,229.71/278.50
  6. Step 6: Final answer
    x = 248.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.