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Finding the Fourth Proportional to 288.86, 433.28 and 161.42

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Solution

The fourth proportional to 288.86, 433.28 and 161.42 is: 242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.86 : 433.28 = 161.42 : x
  2. Step 2: Convert to fraction form
    288.86/433.28 = 161.42/x
  3. Step 3: Cross multiply
    288.86x = 433.28 × 161.42
  4. Step 4: Simplify right side
    288.86x = 69,938.29
  5. Step 5: Solve for x
    x = 69,938.29/288.86
  6. Step 6: Final answer
    x = 242.12

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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.