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Finding the Fourth Proportional to 215.84, 322.32 and 169.67

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Solution

The fourth proportional to 215.84, 322.32 and 169.67 is: 253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.84 : 322.32 = 169.67 : x
  2. Step 2: Convert to fraction form
    215.84/322.32 = 169.67/x
  3. Step 3: Cross multiply
    215.84x = 322.32 × 169.67
  4. Step 4: Simplify right side
    215.84x = 54,687.19
  5. Step 5: Solve for x
    x = 54,687.19/215.84
  6. Step 6: Final answer
    x = 253.37

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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.