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Finding the Fourth Proportional to 217.91, 325.49 and 157.01

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Solution

The fourth proportional to 217.91, 325.49 and 157.01 is: 234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.91 : 325.49 = 157.01 : x
  2. Step 2: Convert to fraction form
    217.91/325.49 = 157.01/x
  3. Step 3: Cross multiply
    217.91x = 325.49 × 157.01
  4. Step 4: Simplify right side
    217.91x = 51,102.77
  5. Step 5: Solve for x
    x = 51,102.77/217.91
  6. Step 6: Final answer
    x = 234.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.