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Finding the Fourth Proportional to 235.80, 323.70 and 235.08

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Solution

The fourth proportional to 235.80, 323.70 and 235.08 is: 322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.80 : 323.70 = 235.08 : x
  2. Step 2: Convert to fraction form
    235.80/323.70 = 235.08/x
  3. Step 3: Cross multiply
    235.80x = 323.70 × 235.08
  4. Step 4: Simplify right side
    235.80x = 76,095.40
  5. Step 5: Solve for x
    x = 76,095.40/235.80
  6. Step 6: Final answer
    x = 322.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.