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Finding the Fourth Proportional to 288.16, 432.18 and 82.69

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Solution

The fourth proportional to 288.16, 432.18 and 82.69 is: 124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.16 : 432.18 = 82.69 : x
  2. Step 2: Convert to fraction form
    288.16/432.18 = 82.69/x
  3. Step 3: Cross multiply
    288.16x = 432.18 × 82.69
  4. Step 4: Simplify right side
    288.16x = 35,734.39
  5. Step 5: Solve for x
    x = 35,734.39/288.16
  6. Step 6: Final answer
    x = 124.01

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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.