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Finding the Fourth Proportional to 288.29, 432.39 and 82.84

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Solution

The fourth proportional to 288.29, 432.39 and 82.84 is: 124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.29 : 432.39 = 82.84 : x
  2. Step 2: Convert to fraction form
    288.29/432.39 = 82.84/x
  3. Step 3: Cross multiply
    288.29x = 432.39 × 82.84
  4. Step 4: Simplify right side
    288.29x = 35,819.19
  5. Step 5: Solve for x
    x = 35,819.19/288.29
  6. Step 6: Final answer
    x = 124.25

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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.