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Finding the Fourth Proportional to 288.09, 431.84 and 172.58

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Solution

The fourth proportional to 288.09, 431.84 and 172.58 is: 258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.09 : 431.84 = 172.58 : x
  2. Step 2: Convert to fraction form
    288.09/431.84 = 172.58/x
  3. Step 3: Cross multiply
    288.09x = 431.84 × 172.58
  4. Step 4: Simplify right side
    288.09x = 74,523.93
  5. Step 5: Solve for x
    x = 74,523.93/288.09
  6. Step 6: Final answer
    x = 258.68

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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.