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Finding the Fourth Proportional to 190.24, 261.68 and 162.64

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Solution

The fourth proportional to 190.24, 261.68 and 162.64 is: 223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.24 : 261.68 = 162.64 : x
  2. Step 2: Convert to fraction form
    190.24/261.68 = 162.64/x
  3. Step 3: Cross multiply
    190.24x = 261.68 × 162.64
  4. Step 4: Simplify right side
    190.24x = 42,559.64
  5. Step 5: Solve for x
    x = 42,559.64/190.24
  6. Step 6: Final answer
    x = 223.72

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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.