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Finding the Fourth Proportional to 288.15, 432.23 and 82.71

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Solution

The fourth proportional to 288.15, 432.23 and 82.71 is: 124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.15 : 432.23 = 82.71 : x
  2. Step 2: Convert to fraction form
    288.15/432.23 = 82.71/x
  3. Step 3: Cross multiply
    288.15x = 432.23 × 82.71
  4. Step 4: Simplify right side
    288.15x = 35,749.33
  5. Step 5: Solve for x
    x = 35,749.33/288.15
  6. Step 6: Final answer
    x = 124.07

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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.