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Finding the Fourth Proportional to 233.45, 351.75 and 193.76

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Solution

The fourth proportional to 233.45, 351.75 and 193.76 is: 291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.45 : 351.75 = 193.76 : x
  2. Step 2: Convert to fraction form
    233.45/351.75 = 193.76/x
  3. Step 3: Cross multiply
    233.45x = 351.75 × 193.76
  4. Step 4: Simplify right side
    233.45x = 68,153.32
  5. Step 5: Solve for x
    x = 68,153.32/233.45
  6. Step 6: Final answer
    x = 291.95

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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.