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Finding the Fourth Proportional to 233.52, 322.68 and 202.33

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Solution

The fourth proportional to 233.52, 322.68 and 202.33 is: 279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.52 : 322.68 = 202.33 : x
  2. Step 2: Convert to fraction form
    233.52/322.68 = 202.33/x
  3. Step 3: Cross multiply
    233.52x = 322.68 × 202.33
  4. Step 4: Simplify right side
    233.52x = 65,287.84
  5. Step 5: Solve for x
    x = 65,287.84/233.52
  6. Step 6: Final answer
    x = 279.58

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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.