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Finding the Fourth Proportional to 233.93, 322.96 and 164.21

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Solution

The fourth proportional to 233.93, 322.96 and 164.21 is: 226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.93 : 322.96 = 164.21 : x
  2. Step 2: Convert to fraction form
    233.93/322.96 = 164.21/x
  3. Step 3: Cross multiply
    233.93x = 322.96 × 164.21
  4. Step 4: Simplify right side
    233.93x = 53,031.24
  5. Step 5: Solve for x
    x = 53,031.24/233.93
  6. Step 6: Final answer
    x = 226.69

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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.