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Finding the Fourth Proportional to 233.77, 352.04 and 203.70

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Solution

The fourth proportional to 233.77, 352.04 and 203.70 is: 306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.77 : 352.04 = 203.70 : x
  2. Step 2: Convert to fraction form
    233.77/352.04 = 203.70/x
  3. Step 3: Cross multiply
    233.77x = 352.04 × 203.70
  4. Step 4: Simplify right side
    233.77x = 71,710.55
  5. Step 5: Solve for x
    x = 71,710.55/233.77
  6. Step 6: Final answer
    x = 306.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.