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Finding the Fourth Proportional to 233.13, 323.95 and 230.60

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Solution

The fourth proportional to 233.13, 323.95 and 230.60 is: 320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.13 : 323.95 = 230.60 : x
  2. Step 2: Convert to fraction form
    233.13/323.95 = 230.60/x
  3. Step 3: Cross multiply
    233.13x = 323.95 × 230.60
  4. Step 4: Simplify right side
    233.13x = 74,701.48
  5. Step 5: Solve for x
    x = 74,701.48/233.13
  6. Step 6: Final answer
    x = 320.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.