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Finding the Fourth Proportional to 278.99, 385.09 and 162.57

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Solution

The fourth proportional to 278.99, 385.09 and 162.57 is: 224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.99 : 385.09 = 162.57 : x
  2. Step 2: Convert to fraction form
    278.99/385.09 = 162.57/x
  3. Step 3: Cross multiply
    278.99x = 385.09 × 162.57
  4. Step 4: Simplify right side
    278.99x = 62,606.03
  5. Step 5: Solve for x
    x = 62,606.03/278.99
  6. Step 6: Final answer
    x = 224.40

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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.