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Finding the Fourth Proportional to 288.20, 431.22 and 242.54

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Solution

The fourth proportional to 288.20, 431.22 and 242.54 is: 362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.20 : 431.22 = 242.54 : x
  2. Step 2: Convert to fraction form
    288.20/431.22 = 242.54/x
  3. Step 3: Cross multiply
    288.20x = 431.22 × 242.54
  4. Step 4: Simplify right side
    288.20x = 104,588.10
  5. Step 5: Solve for x
    x = 104,588.10/288.20
  6. Step 6: Final answer
    x = 362.90

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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.