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Finding the Fourth Proportional to 230.04, 344.80 and 133.64

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Solution

The fourth proportional to 230.04, 344.80 and 133.64 is: 200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.04 : 344.80 = 133.64 : x
  2. Step 2: Convert to fraction form
    230.04/344.80 = 133.64/x
  3. Step 3: Cross multiply
    230.04x = 344.80 × 133.64
  4. Step 4: Simplify right side
    230.04x = 46,079.07
  5. Step 5: Solve for x
    x = 46,079.07/230.04
  6. Step 6: Final answer
    x = 200.31

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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.