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Finding the Fourth Proportional to 288.14, 431.87 and 172.67

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Solution

The fourth proportional to 288.14, 431.87 and 172.67 is: 258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.14 : 431.87 = 172.67 : x
  2. Step 2: Convert to fraction form
    288.14/431.87 = 172.67/x
  3. Step 3: Cross multiply
    288.14x = 431.87 × 172.67
  4. Step 4: Simplify right side
    288.14x = 74,567.97
  5. Step 5: Solve for x
    x = 74,567.97/288.14
  6. Step 6: Final answer
    x = 258.80

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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.