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Finding the Fourth Proportional to 215.34, 322.57 and 154.27

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Solution

The fourth proportional to 215.34, 322.57 and 154.27 is: 231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.34 : 322.57 = 154.27 : x
  2. Step 2: Convert to fraction form
    215.34/322.57 = 154.27/x
  3. Step 3: Cross multiply
    215.34x = 322.57 × 154.27
  4. Step 4: Simplify right side
    215.34x = 49,762.87
  5. Step 5: Solve for x
    x = 49,762.87/215.34
  6. Step 6: Final answer
    x = 231.09

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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.