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Finding the Fourth Proportional to 288.96, 433.29 and 165.54

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Solution

The fourth proportional to 288.96, 433.29 and 165.54 is: 248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.96 : 433.29 = 165.54 : x
  2. Step 2: Convert to fraction form
    288.96/433.29 = 165.54/x
  3. Step 3: Cross multiply
    288.96x = 433.29 × 165.54
  4. Step 4: Simplify right side
    288.96x = 71,727.24
  5. Step 5: Solve for x
    x = 71,727.24/288.96
  6. Step 6: Final answer
    x = 248.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.