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Finding the Fourth Proportional to 288.36, 431.64 and 252.36

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Solution

The fourth proportional to 288.36, 431.64 and 252.36 is: 377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.36 : 431.64 = 252.36 : x
  2. Step 2: Convert to fraction form
    288.36/431.64 = 252.36/x
  3. Step 3: Cross multiply
    288.36x = 431.64 × 252.36
  4. Step 4: Simplify right side
    288.36x = 108,928.67
  5. Step 5: Solve for x
    x = 108,928.67/288.36
  6. Step 6: Final answer
    x = 377.75

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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.