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Finding the Fourth Proportional to 233.72, 322.76 and 200.80

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Solution

The fourth proportional to 233.72, 322.76 and 200.80 is: 277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.72 : 322.76 = 200.80 : x
  2. Step 2: Convert to fraction form
    233.72/322.76 = 200.80/x
  3. Step 3: Cross multiply
    233.72x = 322.76 × 200.80
  4. Step 4: Simplify right side
    233.72x = 64,810.21
  5. Step 5: Solve for x
    x = 64,810.21/233.72
  6. Step 6: Final answer
    x = 277.30

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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.