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Finding the Fourth Proportional to 233.81, 322.75 and 168.40

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Solution

The fourth proportional to 233.81, 322.75 and 168.40 is: 232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.81 : 322.75 = 168.40 : x
  2. Step 2: Convert to fraction form
    233.81/322.75 = 168.40/x
  3. Step 3: Cross multiply
    233.81x = 322.75 × 168.40
  4. Step 4: Simplify right side
    233.81x = 54,351.10
  5. Step 5: Solve for x
    x = 54,351.10/233.81
  6. Step 6: Final answer
    x = 232.46

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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.