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Finding the Fourth Proportional to 233.90, 322.92 and 171.84

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Solution

The fourth proportional to 233.90, 322.92 and 171.84 is: 237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.90 : 322.92 = 171.84 : x
  2. Step 2: Convert to fraction form
    233.90/322.92 = 171.84/x
  3. Step 3: Cross multiply
    233.90x = 322.92 × 171.84
  4. Step 4: Simplify right side
    233.90x = 55,490.57
  5. Step 5: Solve for x
    x = 55,490.57/233.90
  6. Step 6: Final answer
    x = 237.24

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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.