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Finding the Fourth Proportional to 217.58, 325.56 and 162.38

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Solution

The fourth proportional to 217.58, 325.56 and 162.38 is: 242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.58 : 325.56 = 162.38 : x
  2. Step 2: Convert to fraction form
    217.58/325.56 = 162.38/x
  3. Step 3: Cross multiply
    217.58x = 325.56 × 162.38
  4. Step 4: Simplify right side
    217.58x = 52,862.81
  5. Step 5: Solve for x
    x = 52,862.81/217.58
  6. Step 6: Final answer
    x = 242.96

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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.