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Finding the Fourth Proportional to 288.25, 432.44 and 105.65

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Solution

The fourth proportional to 288.25, 432.44 and 105.65 is: 158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.25 : 432.44 = 105.65 : x
  2. Step 2: Convert to fraction form
    288.25/432.44 = 105.65/x
  3. Step 3: Cross multiply
    288.25x = 432.44 × 105.65
  4. Step 4: Simplify right side
    288.25x = 45,684.60
  5. Step 5: Solve for x
    x = 45,684.60/288.25
  6. Step 6: Final answer
    x = 158.49

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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.