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Finding the Fourth Proportional to 288.48, 432.52 and 105.88

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Solution

The fourth proportional to 288.48, 432.52 and 105.88 is: 158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.48 : 432.52 = 105.88 : x
  2. Step 2: Convert to fraction form
    288.48/432.52 = 105.88/x
  3. Step 3: Cross multiply
    288.48x = 432.52 × 105.88
  4. Step 4: Simplify right side
    288.48x = 45,795.22
  5. Step 5: Solve for x
    x = 45,795.22/288.48
  6. Step 6: Final answer
    x = 158.75

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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.