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Finding the Fourth Proportional to 233.97, 322.61 and 178.80

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Solution

The fourth proportional to 233.97, 322.61 and 178.80 is: 246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.97 : 322.61 = 178.80 : x
  2. Step 2: Convert to fraction form
    233.97/322.61 = 178.80/x
  3. Step 3: Cross multiply
    233.97x = 322.61 × 178.80
  4. Step 4: Simplify right side
    233.97x = 57,681.77
  5. Step 5: Solve for x
    x = 57,681.77/233.97
  6. Step 6: Final answer
    x = 246.53

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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.