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Finding the Fourth Proportional to 233.36, 349.40 and 230.16

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Solution

The fourth proportional to 233.36, 349.40 and 230.16 is: 344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.36 : 349.40 = 230.16 : x
  2. Step 2: Convert to fraction form
    233.36/349.40 = 230.16/x
  3. Step 3: Cross multiply
    233.36x = 349.40 × 230.16
  4. Step 4: Simplify right side
    233.36x = 80,417.90
  5. Step 5: Solve for x
    x = 80,417.90/233.36
  6. Step 6: Final answer
    x = 344.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.