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Finding the Fourth Proportional to 233.72, 322.75 and 200.78

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Solution

The fourth proportional to 233.72, 322.75 and 200.78 is: 277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.72 : 322.75 = 200.78 : x
  2. Step 2: Convert to fraction form
    233.72/322.75 = 200.78/x
  3. Step 3: Cross multiply
    233.72x = 322.75 × 200.78
  4. Step 4: Simplify right side
    233.72x = 64,801.75
  5. Step 5: Solve for x
    x = 64,801.75/233.72
  6. Step 6: Final answer
    x = 277.26

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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.