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Finding the Fourth Proportional to 288.37, 397.96 and 162.34

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Solution

The fourth proportional to 288.37, 397.96 and 162.34 is: 224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.37 : 397.96 = 162.34 : x
  2. Step 2: Convert to fraction form
    288.37/397.96 = 162.34/x
  3. Step 3: Cross multiply
    288.37x = 397.96 × 162.34
  4. Step 4: Simplify right side
    288.37x = 64,603.43
  5. Step 5: Solve for x
    x = 64,603.43/288.37
  6. Step 6: Final answer
    x = 224.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.