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Finding the Fourth Proportional to 288.12, 432.24 and 114.88

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Solution

The fourth proportional to 288.12, 432.24 and 114.88 is: 172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.12 : 432.24 = 114.88 : x
  2. Step 2: Convert to fraction form
    288.12/432.24 = 114.88/x
  3. Step 3: Cross multiply
    288.12x = 432.24 × 114.88
  4. Step 4: Simplify right side
    288.12x = 49,655.73
  5. Step 5: Solve for x
    x = 49,655.73/288.12
  6. Step 6: Final answer
    x = 172.34

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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.